Least Common Multiple of 142/907, 188/853, 766/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 142/907, 188/853, 766/112 quickly i.e. 5112284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 142/907, 188/853, 766/112 is 5112284.

LCM(142/907, 188/853, 766/112) = 5112284

LCM of 142/907, 188/853, 766/112

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 142/907,188/853,766/112

Given numbers are 142/907,188/853,766/112

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 142,188,766

Least Common Multiple of Numerators i.e. LCM of 142,188,766 is 5112284.

GCF of Denominators means GCF of 907,853,112 as per the given fractions.

GCF of 907,853,112 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 142,188,766

LCM of Fractions 142/907,188/853,766/112 is 5112284

2 142, 188, 766
71, 94, 383

∴ So the LCM of the given numbers is 2 x 71 x 94 x 383 = 5112284

Least Common Multiple of 142,188,766 with GCF Formula

Least Common Multiple of 142,188,766 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 142,188,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,188,766) = 2

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

GCF(142,188,766) x common factors =2 x 2 = 4

LCM(142,188,766) = ( 142 × 188 × 766 ) / 4

LCM(142,188,766) = 20449136 / 4

LCM(142,188,766) = 5112284


Lets's calculate GCF of 907,853,112

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5112284/1

Therefore the LCM of Fractions 142/907,188/853,766/112 is 5112284

Greatest Common Factor of 907,853,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 907,853,112 By Matching Biggest Common Factor Method

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1,853

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Greatest Common Factor

We found the factors 907,853,112 . The biggest common factor number is the GCF number.
So the greatest common factor 907,853,112 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 142/907, 188/853, 766/112

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 142/907, 188/853, 766/112?

Answer: LCM of Numerators as per given numbers 142/907, 188/853, 766/112 is

LCM of Numerators i.e. for 142,188,766 is 5112284

GCF of denominators i.e. for 907,853,112 is 1.

Thus, LCM of Fractions is 5112284.Finally, LCM of Fractions for 142/907, 188/853, 766/112 is 5112284.