Least Common Multiple of 280, 344, 2576, 427

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 280, 344, 2576, 427 i.e. 33784240 smallest integer divisible by all numbers.

Least common multiple (LCM) of 280, 344, 2576, 427 is 33784240.

LCM(280, 344, 2576, 427) = 33784240

LCM of 280, 344, 2576, 427

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

LCM of:

Least Common Multiple of 280,344,2576,427

Least Common Multiple (LCM) of 280,344,2576,427 is 33784240

2 280, 344, 2576, 427
2 140, 172, 1288, 427
2 70, 86, 644, 427
7 35, 43, 322, 427
5, 43, 46, 61

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 5 x 43 x 46 x 61 = 33784240

Least Common Multiple of 280,344,2576,427 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 280,344,2576,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(280,344,2576,427) = 1

common factors(in case of two or more numbers have common factors) = 3136

GCF(280,344,2576,427) x common factors =1 x 3136 = 3136

LCM(280,344,2576,427) = ( 280 × 344 × 2576 × 427 ) / 3136

LCM(280,344,2576,427) = 105947376640 / 3136

LCM(280,344,2576,427) = 33784240

∴ Least Common Multiple of 280,344,2576,427 is 33784240

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 280, 344, 2576, 427

1. What is the LCM of 280, 344, 2576, 427?

Answer: LCM of 280, 344, 2576, 427 is 33784240.

2. What are the Factors of 33784240?

Answer: Factors of 33784240 are . There are integers that are factors of 33784240

3. How to Find the LCM of 280, 344, 2576, 427 ?

Least Common Multiple of 280, 344, 2576, 427.

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(280, 344, 2576, 427) = 2 x 2 x 2 x 2 x 5 x 7 x 23 x 43 x 61 = 33784240.