Least Common Multiple of 71, 48, 420, 608

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 71, 48, 420, 608 i.e. 4532640 smallest integer divisible by all numbers.

Least common multiple (LCM) of 71, 48, 420, 608 is 4532640.

LCM(71, 48, 420, 608) = 4532640

LCM of 71, 48, 420, 608

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

LCM of:

Least Common Multiple of 71,48,420,608

Least Common Multiple (LCM) of 71,48,420,608 is 4532640

2 71, 48, 420, 608
2 71, 24, 210, 304
2 71, 12, 105, 152
2 71, 6, 105, 76
3 71, 3, 105, 38
71, 1, 35, 38

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 71 x 1 x 35 x 38 = 4532640

Least Common Multiple of 71,48,420,608 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 71,48,420,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,48,420,608) = 1

common factors(in case of two or more numbers have common factors) = 192

GCF(71,48,420,608) x common factors =1 x 192 = 192

LCM(71,48,420,608) = ( 71 × 48 × 420 × 608 ) / 192

LCM(71,48,420,608) = 870266880 / 192

LCM(71,48,420,608) = 4532640

∴ Least Common Multiple of 71,48,420,608 is 4532640

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 71, 48, 420, 608

1. What is the LCM of 71, 48, 420, 608?

Answer: LCM of 71, 48, 420, 608 is 4532640.

2. What are the Factors of 4532640?

Answer: Factors of 4532640 are . There are integers that are factors of 4532640

3. How to Find the LCM of 71, 48, 420, 608 ?

Least Common Multiple of 71, 48, 420, 608.

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(71, 48, 420, 608) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 19 x 71 = 4532640.