Least Common Multiple of 96, 20, 705, 694

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 96, 20, 705, 694 i.e. 7828320 smallest integer divisible by all numbers.

Least common multiple (LCM) of 96, 20, 705, 694 is 7828320.

LCM(96, 20, 705, 694) = 7828320

LCM of 96, 20, 705, 694

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

LCM of:

Least Common Multiple of 96,20,705,694

Least Common Multiple (LCM) of 96,20,705,694 is 7828320

2 96, 20, 705, 694
2 48, 10, 705, 347
3 24, 5, 705, 347
5 8, 5, 235, 347
8, 1, 47, 347

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 8 x 1 x 47 x 347 = 7828320

Least Common Multiple of 96,20,705,694 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 96,20,705,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,20,705,694) = 1

common factors(in case of two or more numbers have common factors) = 120

GCF(96,20,705,694) x common factors =1 x 120 = 120

LCM(96,20,705,694) = ( 96 × 20 × 705 × 694 ) / 120

LCM(96,20,705,694) = 939398400 / 120

LCM(96,20,705,694) = 7828320

∴ Least Common Multiple of 96,20,705,694 is 7828320

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 96, 20, 705, 694

1. What is the LCM of 96, 20, 705, 694?

Answer: LCM of 96, 20, 705, 694 is 7828320.

2. What are the Factors of 7828320?

Answer: Factors of 7828320 are . There are integers that are factors of 7828320

3. How to Find the LCM of 96, 20, 705, 694 ?

Least Common Multiple of 96, 20, 705, 694.

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(96, 20, 705, 694) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 47 x 347 = 7828320.