Least Common Multiple of 547/88, 508/12, 827/848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 547/88, 508/12, 827/848 quickly i.e. 57450863 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 547/88, 508/12, 827/848 is 57450863.

LCM(547/88, 508/12, 827/848) = 57450863

LCM of 547/88, 508/12, 827/848

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 547/88,508/12,827/848

Given numbers are 547/88,508/12,827/848

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 547,508,827

Least Common Multiple of Numerators i.e. LCM of 547,508,827 is 229803452.

GCF of Denominators means GCF of 88,12,848 as per the given fractions.

GCF of 88,12,848 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 547,508,827

LCM of Fractions 547/88,508/12,827/848 is 57450863

Given numbers has no common factors except 1. So, there LCM is their product i.e 229803452

Least Common Multiple of 547,508,827 with GCF Formula

Least Common Multiple of 547,508,827 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 547,508,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(547,508,827) = 1

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

GCF(547,508,827) x common factors =1 x 1 = 1

LCM(547,508,827) = ( 547 × 508 × 827 ) / 1

LCM(547,508,827) = 229803452 / 1

LCM(547,508,827) = 229803452


Lets's calculate GCF of 88,12,848

2 88, 12, 848
2 44, 6, 424
22, 3, 212

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 229803452/4

Therefore the LCM of Fractions 547/88,508/12,827/848 is 57450863

Greatest Common Factor of 88,12,848 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,12,848 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Greatest Common Factor

We found the factors 88,12,848 . The biggest common factor number is the GCF number.
So the greatest common factor 88,12,848 is 4.


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 547/88, 508/12, 827/848

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 547/88, 508/12, 827/848?

Answer: LCM of Numerators as per given numbers 547/88, 508/12, 827/848 is

LCM of Numerators i.e. for 547,508,827 is 229803452

GCF of denominators i.e. for 88,12,848 is 4.

Thus, LCM of Fractions is 57450863.Finally, LCM of Fractions for 547/88, 508/12, 827/848 is 57450863.