Least Common Multiple of 51/28, 61/49, 55/78, 32/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/28, 61/49, 55/78, 32/915 quickly i.e. 5475360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/28, 61/49, 55/78, 32/915 is 5475360.

LCM(51/28, 61/49, 55/78, 32/915) = 5475360

LCM of 51/28, 61/49, 55/78, 32/915

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 51/28,61/49,55/78,32/915

Given numbers are 51/28,61/49,55/78,32/915

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 51,61,55,32

Least Common Multiple of Numerators i.e. LCM of 51,61,55,32 is 5475360.

GCF of Denominators means GCF of 28,49,78,915 as per the given fractions.

GCF of 28,49,78,915 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,61,55,32

LCM of Fractions 51/28,61/49,55/78,32/915 is 5475360

Given numbers has no common factors except 1. So, there LCM is their product i.e 5475360

Least Common Multiple of 51,61,55,32 with GCF Formula

Least Common Multiple of 51,61,55,32 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 51,61,55,32 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,61,55,32) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(51,61,55,32) x common factors =1 x 1 = 1

LCM(51,61,55,32) = ( 51 × 61 × 55 × 32 ) / 1

LCM(51,61,55,32) = 5475360 / 1

LCM(51,61,55,32) = 5475360


Lets's calculate GCF of 28,49,78,915

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5475360/1

Therefore the LCM of Fractions 51/28,61/49,55/78,32/915 is 5475360

Greatest Common Factor of 28,49,78,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,49,78,915 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 28,49,78,915 . The biggest common factor number is the GCF number.
So the greatest common factor 28,49,78,915 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 51/28, 61/49, 55/78, 32/915

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 51/28, 61/49, 55/78, 32/915?

Answer: LCM of Numerators as per given numbers 51/28, 61/49, 55/78, 32/915 is

LCM of Numerators i.e. for 51,61,55,32 is 5475360

GCF of denominators i.e. for 28,49,78,915 is 1.

Thus, LCM of Fractions is 5475360.Finally, LCM of Fractions for 51/28, 61/49, 55/78, 32/915 is 5475360.