Least Common Multiple of 897, 952, 561, 700, 414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 897, 952, 561, 700, 414 i.e. 704503800 smallest integer divisible by all numbers.

Least common multiple (LCM) of 897, 952, 561, 700, 414 is 704503800.

LCM(897, 952, 561, 700, 414) = 704503800

LCM of 897, 952, 561, 700, 414

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 897,952,561,700,414

Least Common Multiple (LCM) of 897,952,561,700,414 is 704503800

2 897, 952, 561, 700, 414
2 897, 476, 561, 350, 207
3 897, 238, 561, 175, 207
7 299, 238, 187, 175, 69
17 299, 34, 187, 25, 69
23 299, 2, 11, 25, 69
13, 2, 11, 25, 3

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 17 x 23 x 13 x 2 x 11 x 25 x 3 = 704503800

Least Common Multiple of 897,952,561,700,414 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 897,952,561,700,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(897,952,561,700,414) = 1

common factors(in case of two or more numbers have common factors) = 197064

GCF(897,952,561,700,414) x common factors =1 x 197064 = 197064

LCM(897,952,561,700,414) = ( 897 × 952 × 561 × 700 × 414 ) / 197064

LCM(897,952,561,700,414) = 138832336843200 / 197064

LCM(897,952,561,700,414) = 704503800

∴ Least Common Multiple of 897,952,561,700,414 is 704503800

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 897, 952, 561, 700, 414

1. What is the LCM of 897, 952, 561, 700, 414?

Answer: LCM of 897, 952, 561, 700, 414 is 704503800.

2. What are the Factors of 704503800?

Answer: Factors of 704503800 are . There are integers that are factors of 704503800

3. How to Find the LCM of 897, 952, 561, 700, 414 ?

Least Common Multiple of 897, 952, 561, 700, 414.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(897, 952, 561, 700, 414) = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 x 11 x 13 x 17 x 23 = 704503800.