Least Common Multiple of 35/76, 173/52, 840/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/76, 173/52, 840/226 quickly i.e. 72660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/76, 173/52, 840/226 is 72660.

LCM(35/76, 173/52, 840/226) = 72660

LCM of 35/76, 173/52, 840/226

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 35/76,173/52,840/226

Given numbers are 35/76,173/52,840/226

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 35,173,840

Least Common Multiple of Numerators i.e. LCM of 35,173,840 is 145320.

GCF of Denominators means GCF of 76,52,226 as per the given fractions.

GCF of 76,52,226 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,173,840

LCM of Fractions 35/76,173/52,840/226 is 72660

5 35, 173, 840
7 7, 173, 168
1, 173, 24

∴ So the LCM of the given numbers is 5 x 7 x 1 x 173 x 24 = 145320

Least Common Multiple of 35,173,840 with GCF Formula

Least Common Multiple of 35,173,840 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 35,173,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,173,840) = 1

common factors(in case of two or more numbers have common factors) = 35

GCF(35,173,840) x common factors =1 x 35 = 35

LCM(35,173,840) = ( 35 × 173 × 840 ) / 35

LCM(35,173,840) = 5086200 / 35

LCM(35,173,840) = 145320


Lets's calculate GCF of 76,52,226

2 76, 52, 226
38, 26, 113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145320/2

Therefore the LCM of Fractions 35/76,173/52,840/226 is 72660

Greatest Common Factor of 76,52,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,52,226 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Greatest Common Factor

We found the factors 76,52,226 . The biggest common factor number is the GCF number.
So the greatest common factor 76,52,226 is 2.


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 35/76, 173/52, 840/226

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 35/76, 173/52, 840/226?

Answer: LCM of Numerators as per given numbers 35/76, 173/52, 840/226 is

LCM of Numerators i.e. for 35,173,840 is 145320

GCF of denominators i.e. for 76,52,226 is 2.

Thus, LCM of Fractions is 72660.Finally, LCM of Fractions for 35/76, 173/52, 840/226 is 72660.