Question

find the LCM of the following 920,940 tell me with image​

Answer 1

Answer:

Free LCM Calculator determines the least common multiple (LCM) between 920 and 940 the smallest integer that is 43240 that is divisible by both numbers.

Least Common Multiple (LCM) of 920 and 940 is 43240.

LCM(920,940) = 43240

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Answer 2

Answer:

43240

Step-by-step explanation:

LCM of 920,940

Approach 1. Integer numbers prime factorization:

Prime Factorization of a number:

finding the prime numbers that multiply together to make that number.

920 = 23 × 5 × 23;

920 is not a prime, is a composite number;

940 = 22 × 5 × 47;

940 is not a prime, is a composite number;

Multiply all the prime factors, by the largest exponents (if any).

lcm (920; 940) = 23 × 5 × 23 × 47 = 43,240

the numbers have common prime factors.

Approach 2. Euclid's algorithm:

Calculate the greatest (highest) common factor (divisor), gcf, hcf, gcd:

This algorithm involves the operation of dividing and calculating remainders.

'a' and 'b' are the two positive integers, 'a' >= 'b'.

Divide 'a' by 'b' and get the remainder, 'r'.

If 'r' = 0, STOP. 'b' = the GCF (HCF, GCD) of 'a' and 'b'.

Else: Replace ('a' by 'b') & ('b' by 'r'). Return to the division step above.

Step 1. Divide the larger number by the smaller one:

940 ÷ 920 = 1 + 20;

Step 2. Divide the smaller number by the above operation's remainder:

920 ÷ 20 = 46 + 0;

At this step, the remainder is zero, so we stop:

20 is the number we were looking for, the last remainder that is not zero.

This is the greatest common factor (divisor).

Calculate the least common multiple, lcm:

Least common multiple, formula:

lcm (a; b) = (a × b) / gcf, hcf, gcd (a; b);

lcm (920; 940) =

(920 × 940) / gcf, hcf, gcd (920; 940) =

864,800 / 20 =

43,240;