Least Common Multiple of 906/61, 238/60, 375/111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 906/61, 238/60, 375/111 quickly i.e. 13476750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 906/61, 238/60, 375/111 is 13476750.

LCM(906/61, 238/60, 375/111) = 13476750

LCM of 906/61, 238/60, 375/111

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 906/61,238/60,375/111

Given numbers are 906/61,238/60,375/111

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 906,238,375

Least Common Multiple of Numerators i.e. LCM of 906,238,375 is 13476750.

GCF of Denominators means GCF of 61,60,111 as per the given fractions.

GCF of 61,60,111 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 906,238,375

LCM of Fractions 906/61,238/60,375/111 is 13476750

2 906, 238, 375
3 453, 119, 375
151, 119, 125

∴ So the LCM of the given numbers is 2 x 3 x 151 x 119 x 125 = 13476750

Least Common Multiple of 906,238,375 with GCF Formula

Least Common Multiple of 906,238,375 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 906,238,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(906,238,375) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(906,238,375) x common factors =1 x 6 = 6

LCM(906,238,375) = ( 906 × 238 × 375 ) / 6

LCM(906,238,375) = 80860500 / 6

LCM(906,238,375) = 13476750


Lets's calculate GCF of 61,60,111

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13476750/1

Therefore the LCM of Fractions 906/61,238/60,375/111 is 13476750

Greatest Common Factor of 61,60,111 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,60,111 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Greatest Common Factor

We found the factors 61,60,111 . The biggest common factor number is the GCF number.
So the greatest common factor 61,60,111 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 906/61, 238/60, 375/111

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 906/61, 238/60, 375/111?

Answer: LCM of Numerators as per given numbers 906/61, 238/60, 375/111 is

LCM of Numerators i.e. for 906,238,375 is 13476750

GCF of denominators i.e. for 61,60,111 is 1.

Thus, LCM of Fractions is 13476750.Finally, LCM of Fractions for 906/61, 238/60, 375/111 is 13476750.