Least Common Multiple of 76/128, 70/208, 226/660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/128, 70/208, 226/660 quickly i.e. 75145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/128, 70/208, 226/660 is 75145.

LCM(76/128, 70/208, 226/660) = 75145

LCM of 76/128, 70/208, 226/660

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 76/128,70/208,226/660

Given numbers are 76/128,70/208,226/660

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 76,70,226

Least Common Multiple of Numerators i.e. LCM of 76,70,226 is 300580.

GCF of Denominators means GCF of 128,208,660 as per the given fractions.

GCF of 128,208,660 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,70,226

LCM of Fractions 76/128,70/208,226/660 is 75145

2 76, 70, 226
38, 35, 113

∴ So the LCM of the given numbers is 2 x 38 x 35 x 113 = 300580

Least Common Multiple of 76,70,226 with GCF Formula

Least Common Multiple of 76,70,226 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 76,70,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,70,226) = 2

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

GCF(76,70,226) x common factors =2 x 2 = 4

LCM(76,70,226) = ( 76 × 70 × 226 ) / 4

LCM(76,70,226) = 1202320 / 4

LCM(76,70,226) = 300580


Lets's calculate GCF of 128,208,660

2 128, 208, 660
2 64, 104, 330
32, 52, 165

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 300580/4

Therefore the LCM of Fractions 76/128,70/208,226/660 is 75145

Greatest Common Factor of 128,208,660 By Matching Biggest Common Factor Method

Greatest Common Factor of 128,208,660 By Matching Biggest Common Factor Method

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

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

Greatest Common Factor

We found the factors 128,208,660 . The biggest common factor number is the GCF number.
So the greatest common factor 128,208,660 is 4.


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 76/128, 70/208, 226/660

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 76/128, 70/208, 226/660?

Answer: LCM of Numerators as per given numbers 76/128, 70/208, 226/660 is

LCM of Numerators i.e. for 76,70,226 is 300580

GCF of denominators i.e. for 128,208,660 is 4.

Thus, LCM of Fractions is 75145.Finally, LCM of Fractions for 76/128, 70/208, 226/660 is 75145.