Least Common Multiple of 45/375, 826/660, 123/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/375, 826/660, 123/965 quickly i.e. 304794 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/375, 826/660, 123/965 is 304794.

LCM(45/375, 826/660, 123/965) = 304794

LCM of 45/375, 826/660, 123/965

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 45/375,826/660,123/965

Given numbers are 45/375,826/660,123/965

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 45,826,123

Least Common Multiple of Numerators i.e. LCM of 45,826,123 is 1523970.

GCF of Denominators means GCF of 375,660,965 as per the given fractions.

GCF of 375,660,965 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,826,123

LCM of Fractions 45/375,826/660,123/965 is 304794

3 45, 826, 123
15, 826, 41

∴ So the LCM of the given numbers is 3 x 15 x 826 x 41 = 1523970

Least Common Multiple of 45,826,123 with GCF Formula

Least Common Multiple of 45,826,123 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 45,826,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,826,123) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(45,826,123) x common factors =1 x 3 = 3

LCM(45,826,123) = ( 45 × 826 × 123 ) / 3

LCM(45,826,123) = 4571910 / 3

LCM(45,826,123) = 1523970


Lets's calculate GCF of 375,660,965

5 375, 660, 965
75, 132, 193

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1523970/5

Therefore the LCM of Fractions 45/375,826/660,123/965 is 304794

Greatest Common Factor of 375,660,965 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,660,965 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Greatest Common Factor

We found the factors 375,660,965 . The biggest common factor number is the GCF number.
So the greatest common factor 375,660,965 is 5.


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 45/375, 826/660, 123/965

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 45/375, 826/660, 123/965?

Answer: LCM of Numerators as per given numbers 45/375, 826/660, 123/965 is

LCM of Numerators i.e. for 45,826,123 is 1523970

GCF of denominators i.e. for 375,660,965 is 5.

Thus, LCM of Fractions is 304794.Finally, LCM of Fractions for 45/375, 826/660, 123/965 is 304794.