Least Common Multiple of 892/68, 116/63, 426/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 892/68, 116/63, 426/531 quickly i.e. 5509884 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 892/68, 116/63, 426/531 is 5509884.

LCM(892/68, 116/63, 426/531) = 5509884

LCM of 892/68, 116/63, 426/531

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 892/68,116/63,426/531

Given numbers are 892/68,116/63,426/531

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 892,116,426

Least Common Multiple of Numerators i.e. LCM of 892,116,426 is 5509884.

GCF of Denominators means GCF of 68,63,531 as per the given fractions.

GCF of 68,63,531 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 892,116,426

LCM of Fractions 892/68,116/63,426/531 is 5509884

2 892, 116, 426
2 446, 58, 213
223, 29, 213

∴ So the LCM of the given numbers is 2 x 2 x 223 x 29 x 213 = 5509884

Least Common Multiple of 892,116,426 with GCF Formula

Least Common Multiple of 892,116,426 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 892,116,426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(892,116,426) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(892,116,426) x common factors =2 x 4 = 8

LCM(892,116,426) = ( 892 × 116 × 426 ) / 8

LCM(892,116,426) = 44079072 / 8

LCM(892,116,426) = 5509884


Lets's calculate GCF of 68,63,531

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5509884/1

Therefore the LCM of Fractions 892/68,116/63,426/531 is 5509884

Greatest Common Factor of 68,63,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,63,531 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 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 68,63,531 . The biggest common factor number is the GCF number.
So the greatest common factor 68,63,531 is 1.


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 892/68, 116/63, 426/531

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 892/68, 116/63, 426/531?

Answer: LCM of Numerators as per given numbers 892/68, 116/63, 426/531 is

LCM of Numerators i.e. for 892,116,426 is 5509884

GCF of denominators i.e. for 68,63,531 is 1.

Thus, LCM of Fractions is 5509884.Finally, LCM of Fractions for 892/68, 116/63, 426/531 is 5509884.