Question

HCF and LCM of two numbers are 14 and 490 if one of the number is 70 find the other number.​

Answer 1

Answer:

formula = hcf × lcm / one number

so. 14 × 490 ÷70 = 98

Answer 2

Answer:

Step-by-step explanation:

Concept:

The L.C.M. defines the least number that is exactly divisible by two or more numbers, whereas the H.C.F. describes the biggest factor existing between any given pair of two or more numbers. LCM is also known as the Least Common Multiple (LCM), and HCF is also known as the Greatest Common Factor (GCF).

According to the laws of mathematics, the highest positive integer that divides two or more positive integers without leaving a residual is known as the greatest common divisor, or GCD.

The least common multiple, or LCM, of two numbers, such as $a and b$ , is written as LCM in mathematics $(a,b)$. The smallest or least positive integer that is divisible by both a and b is known as the LCM.

Given:

Least Common Factor $= 490$

Highest Common Factor $= 14$

One of the number $= 70$

Find:

To find the other number

Solution:

Let us assume that one of the number $= a$

Let us assume that other number $= b$

$LCM * HCF = a*b$

$b = LCM * HCF / a$

$b = 490*14 / 70$

$b = 6860 / 70$

$b = 98$

Hence the other number $= 98$

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