Least Common Multiple of 872/68, 983/16, 970/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 872/68, 983/16, 970/966 quickly i.e. 207865180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 872/68, 983/16, 970/966 is 207865180.

LCM(872/68, 983/16, 970/966) = 207865180

LCM of 872/68, 983/16, 970/966

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 872/68,983/16,970/966

Given numbers are 872/68,983/16,970/966

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 872,983,970

Least Common Multiple of Numerators i.e. LCM of 872,983,970 is 415730360.

GCF of Denominators means GCF of 68,16,966 as per the given fractions.

GCF of 68,16,966 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 872,983,970

LCM of Fractions 872/68,983/16,970/966 is 207865180

2 872, 983, 970
436, 983, 485

∴ So the LCM of the given numbers is 2 x 436 x 983 x 485 = 415730360

Least Common Multiple of 872,983,970 with GCF Formula

Least Common Multiple of 872,983,970 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 872,983,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,983,970) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(872,983,970) x common factors =1 x 2 = 2

LCM(872,983,970) = ( 872 × 983 × 970 ) / 2

LCM(872,983,970) = 831460720 / 2

LCM(872,983,970) = 415730360


Lets's calculate GCF of 68,16,966

2 68, 16, 966
34, 8, 483

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 415730360/2

Therefore the LCM of Fractions 872/68,983/16,970/966 is 207865180

Greatest Common Factor of 68,16,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,16,966 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 68,16,966 . The biggest common factor number is the GCF number.
So the greatest common factor 68,16,966 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 872/68, 983/16, 970/966

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 872/68, 983/16, 970/966?

Answer: LCM of Numerators as per given numbers 872/68, 983/16, 970/966 is

LCM of Numerators i.e. for 872,983,970 is 415730360

GCF of denominators i.e. for 68,16,966 is 2.

Thus, LCM of Fractions is 207865180.Finally, LCM of Fractions for 872/68, 983/16, 970/966 is 207865180.