Least Common Multiple of 985, 728, 378

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 985, 728, 378 i.e. 19361160 smallest integer divisible by all numbers.

Least common multiple (LCM) of 985, 728, 378 is 19361160.

LCM(985, 728, 378) = 19361160

LCM of 985, 728, 378

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

LCM of:

Least Common Multiple of 985,728,378

Least Common Multiple (LCM) of 985,728,378 is 19361160

2 985, 728, 378
7 985, 364, 189
985, 52, 27

∴ So the LCM of the given numbers is 2 x 7 x 985 x 52 x 27 = 19361160

Least Common Multiple of 985,728,378 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 985,728,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(985,728,378) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(985,728,378) x common factors =1 x 14 = 14

LCM(985,728,378) = ( 985 × 728 × 378 ) / 14

LCM(985,728,378) = 271056240 / 14

LCM(985,728,378) = 19361160

∴ Least Common Multiple of 985,728,378 is 19361160

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 985, 728, 378

1. What is the LCM of 985, 728, 378?

Answer: LCM of 985, 728, 378 is 19361160.

2. What are the Factors of 19361160?

Answer: Factors of 19361160 are . There are integers that are factors of 19361160

3. How to Find the LCM of 985, 728, 378 ?

Least Common Multiple of 985, 728, 378.

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(985, 728, 378) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 13 x 197 = 19361160.