Least Common Multiple of 260/921, 747/486, 685/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 260/921, 747/486, 685/534 quickly i.e. 8869380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 260/921, 747/486, 685/534 is 8869380.

LCM(260/921, 747/486, 685/534) = 8869380

LCM of 260/921, 747/486, 685/534

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 260/921,747/486,685/534

Given numbers are 260/921,747/486,685/534

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 260,747,685

Least Common Multiple of Numerators i.e. LCM of 260,747,685 is 26608140.

GCF of Denominators means GCF of 921,486,534 as per the given fractions.

GCF of 921,486,534 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 260,747,685

LCM of Fractions 260/921,747/486,685/534 is 8869380

5 260, 747, 685
52, 747, 137

∴ So the LCM of the given numbers is 5 x 52 x 747 x 137 = 26608140

Least Common Multiple of 260,747,685 with GCF Formula

Least Common Multiple of 260,747,685 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 260,747,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,747,685) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(260,747,685) x common factors =1 x 5 = 5

LCM(260,747,685) = ( 260 × 747 × 685 ) / 5

LCM(260,747,685) = 133040700 / 5

LCM(260,747,685) = 26608140


Lets's calculate GCF of 921,486,534

3 921, 486, 534
307, 162, 178

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26608140/3

Therefore the LCM of Fractions 260/921,747/486,685/534 is 8869380

Greatest Common Factor of 921,486,534 By Matching Biggest Common Factor Method

Greatest Common Factor of 921,486,534 By Matching Biggest Common Factor Method

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Greatest Common Factor

We found the factors 921,486,534 . The biggest common factor number is the GCF number.
So the greatest common factor 921,486,534 is 3.


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 260/921, 747/486, 685/534

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 260/921, 747/486, 685/534?

Answer: LCM of Numerators as per given numbers 260/921, 747/486, 685/534 is

LCM of Numerators i.e. for 260,747,685 is 26608140

GCF of denominators i.e. for 921,486,534 is 3.

Thus, LCM of Fractions is 8869380.Finally, LCM of Fractions for 260/921, 747/486, 685/534 is 8869380.