Question

Find the lowest natural number which when divided by 24,18,40 and 60 leaves remainder 8 in each case​

Answer 1

Answer:

LCM is the least no. /Smallest no. Which is divisible by all the given numbers. So, LCM of 24= 2× 2×2×3, 18= 2×3×3, 40= 2×2×2×5, 60=2×2×3×5, is all factors with greatest power, so LCM = 2^3 ×3^2 ×5^1= 8×9× 5 = 360. So , no. Leaves remainder 8 in each case is 360+8 = 368.

Step-by-step explanation:

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Answer 2

Answer:

Concept:

Natural numbers are those in mathematics that are utilised for counting and ordering. Ordinal numbers can be used for ranking, whereas cardinal numbers are used for counting.  Natural numbers, also referred to as nominal numbers, which lack all mathematically meaningful features, are occasionally employed as labels. Some definitions, such as the ISO 80000-2 standard, start the natural numbers with 0, which corresponds to the positive integers 1, 2, 3, and so on, while other definitions start with 1, which corresponds to the non-negative integers 0, 1, 2, and so forth. The natural numbers and zero are sometimes referred to as the whole numbers in texts that do not include zero; however, the phrase is more commonly used to refer to integers in other literature.

Given:

Find the lowest natural number that, when divided by 24, 18, 40, 60, and 8 in each case, leaves a leftover of 8.

Find:

Find the answer for the given question

Answer:

The sum of all the elements in the order of highest frequency of occurrence yields the least frequent multiple.

$LCM = 2*2*2*3*5*3$

$LCM=2^{3} *3^{2} *5$

$LCM=360$

360 is the least frequent multiple of $18,24,40and60$

The lowest natural number is $=(360+8)$

                                                 $=368$

In arithmetic, natural numbers are used to count and organise objects. Cardinal numbers refer to words that relate to counting, whereas ordinal numbers link to words that relate to orders. Natural numbers occasionally seem to function as a helpful set of codes.

Integers are created by adding the neutrality number 0 and the addition inverse of natural numbers by dividing them by (1). Rational numbers are created by introducing multiplication inverses for each non-zero positive integer and multiplying them with one another.

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