Least Common Multiple of 149/868, 846/549, 688/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 149/868, 846/549, 688/531 quickly i.e. 43362576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 149/868, 846/549, 688/531 is 43362576.

LCM(149/868, 846/549, 688/531) = 43362576

LCM of 149/868, 846/549, 688/531

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 149/868,846/549,688/531

Given numbers are 149/868,846/549,688/531

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 149,846,688

Least Common Multiple of Numerators i.e. LCM of 149,846,688 is 43362576.

GCF of Denominators means GCF of 868,549,531 as per the given fractions.

GCF of 868,549,531 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 149,846,688

LCM of Fractions 149/868,846/549,688/531 is 43362576

2 149, 846, 688
149, 423, 344

∴ So the LCM of the given numbers is 2 x 149 x 423 x 344 = 43362576

Least Common Multiple of 149,846,688 with GCF Formula

Least Common Multiple of 149,846,688 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 149,846,688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,846,688) = 1

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

GCF(149,846,688) x common factors =1 x 2 = 2

LCM(149,846,688) = ( 149 × 846 × 688 ) / 2

LCM(149,846,688) = 86725152 / 2

LCM(149,846,688) = 43362576


Lets's calculate GCF of 868,549,531

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43362576/1

Therefore the LCM of Fractions 149/868,846/549,688/531 is 43362576

Greatest Common Factor of 868,549,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,549,531 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

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 868,549,531 . The biggest common factor number is the GCF number.
So the greatest common factor 868,549,531 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 149/868, 846/549, 688/531

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 149/868, 846/549, 688/531?

Answer: LCM of Numerators as per given numbers 149/868, 846/549, 688/531 is

LCM of Numerators i.e. for 149,846,688 is 43362576

GCF of denominators i.e. for 868,549,531 is 1.

Thus, LCM of Fractions is 43362576.Finally, LCM of Fractions for 149/868, 846/549, 688/531 is 43362576.