Least Common Multiple of 878/146, 5071/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 878/146, 5071/948 quickly i.e. 2226169 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 878/146, 5071/948 is 2226169.

LCM(878/146, 5071/948) = 2226169

LCM of 878/146, 5071/948

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 878/146,5071/948

Given numbers are 878/146,5071/948

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 878,5071

Least Common Multiple of Numerators i.e. LCM of 878,5071 is 4452338.

GCF of Denominators means GCF of 146,948 as per the given fractions.

GCF of 146,948 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 878,5071

LCM of Fractions 878/146,5071/948 is 2226169

Given numbers has no common factors except 1. So, there LCM is their product i.e 4452338

Least Common Multiple of 878,5071 with GCF Formula

Least Common Multiple of 878,5071 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 878,5071 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(878,5071) = 1

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

GCF(878,5071) x common factors =1 x 1 = 1

LCM(878,5071) = ( 878 × 5071 ) / 1

LCM(878,5071) = 4452338 / 1

LCM(878,5071) = 4452338


Lets's calculate GCF of 146,948

2 146, 948
73, 474

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4452338/2

Therefore the LCM of Fractions 878/146,5071/948 is 2226169

Greatest Common Factor of 146,948 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,948 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Greatest Common Factor

We found the factors 146,948 . The biggest common factor number is the GCF number.
So the greatest common factor 146,948 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 878/146, 5071/948

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 878/146, 5071/948?

Answer: LCM of Numerators as per given numbers 878/146, 5071/948 is

LCM of Numerators i.e. for 878,5071 is 4452338

GCF of denominators i.e. for 146,948 is 2.

Thus, LCM of Fractions is 2226169.Finally, LCM of Fractions for 878/146, 5071/948 is 2226169.