Least Common Multiple of 907/130, 178/263, 112/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 907/130, 178/263, 112/712 quickly i.e. 9040976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 907/130, 178/263, 112/712 is 9040976.

LCM(907/130, 178/263, 112/712) = 9040976

LCM of 907/130, 178/263, 112/712

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 907/130,178/263,112/712

Given numbers are 907/130,178/263,112/712

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 907,178,112

Least Common Multiple of Numerators i.e. LCM of 907,178,112 is 9040976.

GCF of Denominators means GCF of 130,263,712 as per the given fractions.

GCF of 130,263,712 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 907,178,112

LCM of Fractions 907/130,178/263,112/712 is 9040976

2 907, 178, 112
907, 89, 56

∴ So the LCM of the given numbers is 2 x 907 x 89 x 56 = 9040976

Least Common Multiple of 907,178,112 with GCF Formula

Least Common Multiple of 907,178,112 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 907,178,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(907,178,112) = 1

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

GCF(907,178,112) x common factors =1 x 2 = 2

LCM(907,178,112) = ( 907 × 178 × 112 ) / 2

LCM(907,178,112) = 18081952 / 2

LCM(907,178,112) = 9040976


Lets's calculate GCF of 130,263,712

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9040976/1

Therefore the LCM of Fractions 907/130,178/263,112/712 is 9040976

Greatest Common Factor of 130,263,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 130,263,712 By Matching Biggest Common Factor Method

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 130,263,712 . The biggest common factor number is the GCF number.
So the greatest common factor 130,263,712 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 907/130, 178/263, 112/712

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 907/130, 178/263, 112/712?

Answer: LCM of Numerators as per given numbers 907/130, 178/263, 112/712 is

LCM of Numerators i.e. for 907,178,112 is 9040976

GCF of denominators i.e. for 130,263,712 is 1.

Thus, LCM of Fractions is 9040976.Finally, LCM of Fractions for 907/130, 178/263, 112/712 is 9040976.