Least Common Multiple of 3/75, 45/749, 60/126

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/75, 45/749, 60/126 quickly i.e. 180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/75, 45/749, 60/126 is 180.

LCM(3/75, 45/749, 60/126) = 180

LCM of 3/75, 45/749, 60/126

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 3/75,45/749,60/126

Given numbers are 3/75,45/749,60/126

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 3,45,60

Least Common Multiple of Numerators i.e. LCM of 3,45,60 is 180.

GCF of Denominators means GCF of 75,749,126 as per the given fractions.

GCF of 75,749,126 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,45,60

LCM of Fractions 3/75,45/749,60/126 is 180

3 3, 45, 60
5 1, 15, 20
1, 3, 4

∴ So the LCM of the given numbers is 3 x 5 x 1 x 3 x 4 = 180

Least Common Multiple of 3,45,60 with GCF Formula

Least Common Multiple of 3,45,60 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 3,45,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,45,60) = 3

common factors(in case of two or more numbers have common factors) = 15

GCF(3,45,60) x common factors =3 x 15 = 45

LCM(3,45,60) = ( 3 × 45 × 60 ) / 45

LCM(3,45,60) = 8100 / 45

LCM(3,45,60) = 180


Lets's calculate GCF of 75,749,126

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 180/1

Therefore the LCM of Fractions 3/75,45/749,60/126 is 180

Greatest Common Factor of 75,749,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,749,126 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 75,749,126 . The biggest common factor number is the GCF number.
So the greatest common factor 75,749,126 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 3/75, 45/749, 60/126

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 3/75, 45/749, 60/126?

Answer: LCM of Numerators as per given numbers 3/75, 45/749, 60/126 is

LCM of Numerators i.e. for 3,45,60 is 180

GCF of denominators i.e. for 75,749,126 is 1.

Thus, LCM of Fractions is 180.Finally, LCM of Fractions for 3/75, 45/749, 60/126 is 180.