Least Common Multiple of 307/549, 296/360, 749/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 307/549, 296/360, 749/158 quickly i.e. 68063128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 307/549, 296/360, 749/158 is 68063128.

LCM(307/549, 296/360, 749/158) = 68063128

LCM of 307/549, 296/360, 749/158

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 307/549,296/360,749/158

Given numbers are 307/549,296/360,749/158

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 307,296,749

Least Common Multiple of Numerators i.e. LCM of 307,296,749 is 68063128.

GCF of Denominators means GCF of 549,360,158 as per the given fractions.

GCF of 549,360,158 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 307,296,749

LCM of Fractions 307/549,296/360,749/158 is 68063128

Given numbers has no common factors except 1. So, there LCM is their product i.e 68063128

Least Common Multiple of 307,296,749 with GCF Formula

Least Common Multiple of 307,296,749 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 307,296,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,296,749) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(307,296,749) x common factors =1 x 1 = 1

LCM(307,296,749) = ( 307 × 296 × 749 ) / 1

LCM(307,296,749) = 68063128 / 1

LCM(307,296,749) = 68063128


Lets's calculate GCF of 549,360,158

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68063128/1

Therefore the LCM of Fractions 307/549,296/360,749/158 is 68063128

Greatest Common Factor of 549,360,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 549,360,158 By Matching Biggest Common Factor Method

Factors of 549

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

1,3,9,61,183,549

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 549,360,158 . The biggest common factor number is the GCF number.
So the greatest common factor 549,360,158 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 307/549, 296/360, 749/158

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 307/549, 296/360, 749/158?

Answer: LCM of Numerators as per given numbers 307/549, 296/360, 749/158 is

LCM of Numerators i.e. for 307,296,749 is 68063128

GCF of denominators i.e. for 549,360,158 is 1.

Thus, LCM of Fractions is 68063128.Finally, LCM of Fractions for 307/549, 296/360, 749/158 is 68063128.