Least Common Multiple of 704, 420, 935

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 704, 420, 935 i.e. 1256640 smallest integer divisible by all numbers.

Least common multiple (LCM) of 704, 420, 935 is 1256640.

LCM(704, 420, 935) = 1256640

LCM of 704, 420, 935

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

LCM of:

Least Common Multiple of 704,420,935

Least Common Multiple (LCM) of 704,420,935 is 1256640

2 704, 420, 935
2 352, 210, 935
5 176, 105, 935
11 176, 21, 187
16, 21, 17

∴ So the LCM of the given numbers is 2 x 2 x 5 x 11 x 16 x 21 x 17 = 1256640

Least Common Multiple of 704,420,935 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 704,420,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,420,935) = 1

common factors(in case of two or more numbers have common factors) = 220

GCF(704,420,935) x common factors =1 x 220 = 220

LCM(704,420,935) = ( 704 × 420 × 935 ) / 220

LCM(704,420,935) = 276460800 / 220

LCM(704,420,935) = 1256640

∴ Least Common Multiple of 704,420,935 is 1256640

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 704, 420, 935

1. What is the LCM of 704, 420, 935?

Answer: LCM of 704, 420, 935 is 1256640.

2. What are the Factors of 1256640?

Answer: Factors of 1256640 are . There are integers that are factors of 1256640

3. How to Find the LCM of 704, 420, 935 ?

Least Common Multiple of 704, 420, 935.

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(704, 420, 935) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 17 = 1256640.