Least Common Multiple of 51/74, 26/66, 86/112

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/74, 26/66, 86/112 quickly i.e. 28509 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/74, 26/66, 86/112 is 28509.

LCM(51/74, 26/66, 86/112) = 28509

LCM of 51/74, 26/66, 86/112

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 51/74,26/66,86/112

Given numbers are 51/74,26/66,86/112

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 51,26,86

Least Common Multiple of Numerators i.e. LCM of 51,26,86 is 57018.

GCF of Denominators means GCF of 74,66,112 as per the given fractions.

GCF of 74,66,112 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,26,86

LCM of Fractions 51/74,26/66,86/112 is 28509

2 51, 26, 86
51, 13, 43

∴ So the LCM of the given numbers is 2 x 51 x 13 x 43 = 57018

Least Common Multiple of 51,26,86 with GCF Formula

Least Common Multiple of 51,26,86 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 51,26,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,26,86) = 1

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

GCF(51,26,86) x common factors =1 x 2 = 2

LCM(51,26,86) = ( 51 × 26 × 86 ) / 2

LCM(51,26,86) = 114036 / 2

LCM(51,26,86) = 57018


Lets's calculate GCF of 74,66,112

2 74, 66, 112
37, 33, 56

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57018/2

Therefore the LCM of Fractions 51/74,26/66,86/112 is 28509

Greatest Common Factor of 74,66,112 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,66,112 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

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 74,66,112 . The biggest common factor number is the GCF number.
So the greatest common factor 74,66,112 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 51/74, 26/66, 86/112

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 51/74, 26/66, 86/112?

Answer: LCM of Numerators as per given numbers 51/74, 26/66, 86/112 is

LCM of Numerators i.e. for 51,26,86 is 57018

GCF of denominators i.e. for 74,66,112 is 2.

Thus, LCM of Fractions is 28509.Finally, LCM of Fractions for 51/74, 26/66, 86/112 is 28509.