Least Common Multiple of 284, 924, 378, 370

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 284, 924, 378, 370 i.e. 109230660 smallest integer divisible by all numbers.

Least common multiple (LCM) of 284, 924, 378, 370 is 109230660.

LCM(284, 924, 378, 370) = 109230660

LCM of 284, 924, 378, 370

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

LCM of:

Least Common Multiple of 284,924,378,370

Least Common Multiple (LCM) of 284,924,378,370 is 109230660

2 284, 924, 378, 370
2 142, 462, 189, 185
3 71, 231, 189, 185
7 71, 77, 63, 185
71, 11, 9, 185

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 71 x 11 x 9 x 185 = 109230660

Least Common Multiple of 284,924,378,370 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 284,924,378,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,924,378,370) = 2

common factors(in case of two or more numbers have common factors) = 168

GCF(284,924,378,370) x common factors =2 x 168 = 336

LCM(284,924,378,370) = ( 284 × 924 × 378 × 370 ) / 336

LCM(284,924,378,370) = 36701501760 / 336

LCM(284,924,378,370) = 109230660

∴ Least Common Multiple of 284,924,378,370 is 109230660

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 284, 924, 378, 370

1. What is the LCM of 284, 924, 378, 370?

Answer: LCM of 284, 924, 378, 370 is 109230660.

2. What are the Factors of 109230660?

Answer: Factors of 109230660 are . There are integers that are factors of 109230660

3. How to Find the LCM of 284, 924, 378, 370 ?

Least Common Multiple of 284, 924, 378, 370.

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(284, 924, 378, 370) = 2 x 2 x 3 x 3 x 3 x 5 x 7 x 11 x 37 x 71 = 109230660.