Least Common Multiple of 976/852, 676/836, 992/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 976/852, 676/836, 992/492 quickly i.e. 2556632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 976/852, 676/836, 992/492 is 2556632.

LCM(976/852, 676/836, 992/492) = 2556632

LCM of 976/852, 676/836, 992/492

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 976/852,676/836,992/492

Given numbers are 976/852,676/836,992/492

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 976,676,992

Least Common Multiple of Numerators i.e. LCM of 976,676,992 is 10226528.

GCF of Denominators means GCF of 852,836,492 as per the given fractions.

GCF of 852,836,492 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 976,676,992

LCM of Fractions 976/852,676/836,992/492 is 2556632

2 976, 676, 992
2 488, 338, 496
2 244, 169, 248
2 122, 169, 124
61, 169, 62

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 61 x 169 x 62 = 10226528

Least Common Multiple of 976,676,992 with GCF Formula

Least Common Multiple of 976,676,992 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 976,676,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,676,992) = 4

common factors(in case of two or more numbers have common factors) = 16

GCF(976,676,992) x common factors =4 x 16 = 64

LCM(976,676,992) = ( 976 × 676 × 992 ) / 64

LCM(976,676,992) = 654497792 / 64

LCM(976,676,992) = 10226528


Lets's calculate GCF of 852,836,492

2 852, 836, 492
2 426, 418, 246
213, 209, 123

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10226528/4

Therefore the LCM of Fractions 976/852,676/836,992/492 is 2556632

Greatest Common Factor of 852,836,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,836,492 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 852,836,492 . The biggest common factor number is the GCF number.
So the greatest common factor 852,836,492 is 4.


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 976/852, 676/836, 992/492

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 976/852, 676/836, 992/492?

Answer: LCM of Numerators as per given numbers 976/852, 676/836, 992/492 is

LCM of Numerators i.e. for 976,676,992 is 10226528

GCF of denominators i.e. for 852,836,492 is 4.

Thus, LCM of Fractions is 2556632.Finally, LCM of Fractions for 976/852, 676/836, 992/492 is 2556632.