Least Common Multiple of 947/427, 749/135, 251/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 947/427, 749/135, 251/700 quickly i.e. 178035053 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 947/427, 749/135, 251/700 is 178035053.

LCM(947/427, 749/135, 251/700) = 178035053

LCM of 947/427, 749/135, 251/700

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 947/427,749/135,251/700

Given numbers are 947/427,749/135,251/700

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 947,749,251

Least Common Multiple of Numerators i.e. LCM of 947,749,251 is 178035053.

GCF of Denominators means GCF of 427,135,700 as per the given fractions.

GCF of 427,135,700 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 947,749,251

LCM of Fractions 947/427,749/135,251/700 is 178035053

Given numbers has no common factors except 1. So, there LCM is their product i.e 178035053

Least Common Multiple of 947,749,251 with GCF Formula

Least Common Multiple of 947,749,251 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 947,749,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,749,251) = 1

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

GCF(947,749,251) x common factors =1 x 1 = 1

LCM(947,749,251) = ( 947 × 749 × 251 ) / 1

LCM(947,749,251) = 178035053 / 1

LCM(947,749,251) = 178035053


Lets's calculate GCF of 427,135,700

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178035053/1

Therefore the LCM of Fractions 947/427,749/135,251/700 is 178035053

Greatest Common Factor of 427,135,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 427,135,700 By Matching Biggest Common Factor Method

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 427,135,700 . The biggest common factor number is the GCF number.
So the greatest common factor 427,135,700 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 947/427, 749/135, 251/700

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 947/427, 749/135, 251/700?

Answer: LCM of Numerators as per given numbers 947/427, 749/135, 251/700 is

LCM of Numerators i.e. for 947,749,251 is 178035053

GCF of denominators i.e. for 427,135,700 is 1.

Thus, LCM of Fractions is 178035053.Finally, LCM of Fractions for 947/427, 749/135, 251/700 is 178035053.