Least Common Multiple of 867, 978, 102

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 867, 978, 102 i.e. 282642 smallest integer divisible by all numbers.

Least common multiple (LCM) of 867, 978, 102 is 282642.

LCM(867, 978, 102) = 282642

LCM of 867, 978, 102

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

LCM of:

Least Common Multiple of 867,978,102

Least Common Multiple (LCM) of 867,978,102 is 282642

2 867, 978, 102
3 867, 489, 51
17 289, 163, 17
1, 163, 17

∴ So the LCM of the given numbers is 2 x 3 x 17 x 1 x 163 x 17 = 282642

Least Common Multiple of 867,978,102 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 867,978,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,978,102) = 3

common factors(in case of two or more numbers have common factors) = 102

GCF(867,978,102) x common factors =3 x 102 = 306

LCM(867,978,102) = ( 867 × 978 × 102 ) / 306

LCM(867,978,102) = 86488452 / 306

LCM(867,978,102) = 282642

∴ Least Common Multiple of 867,978,102 is 282642

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 867, 978, 102

1. What is the LCM of 867, 978, 102?

Answer: LCM of 867, 978, 102 is 282642.

2. What are the Factors of 282642?

Answer: Factors of 282642 are . There are integers that are factors of 282642

3. How to Find the LCM of 867, 978, 102 ?

Least Common Multiple of 867, 978, 102.

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(867, 978, 102) = 2 x 3 x 17 x 17 x 163 = 282642.