Least Common Multiple of 78/171, 4374/8420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/171, 4374/8420 quickly i.e. 56862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/171, 4374/8420 is 56862.

LCM(78/171, 4374/8420) = 56862

LCM of 78/171, 4374/8420

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 78/171,4374/8420

Given numbers are 78/171,4374/8420

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 78,4374

Least Common Multiple of Numerators i.e. LCM of 78,4374 is 56862.

GCF of Denominators means GCF of 171,8420 as per the given fractions.

GCF of 171,8420 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,4374

LCM of Fractions 78/171,4374/8420 is 56862

2 78, 4374
3 39, 2187
13, 729

∴ So the LCM of the given numbers is 2 x 3 x 13 x 729 = 56862

Least Common Multiple of 78,4374 with GCF Formula

Least Common Multiple of 78,4374 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 78,4374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,4374) = 6

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

GCF(78,4374) x common factors =6 x 1 = 6

LCM(78,4374) = ( 78 × 4374 ) / 6

LCM(78,4374) = 341172 / 6

LCM(78,4374) = 56862


Lets's calculate GCF of 171,8420

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56862/1

Therefore the LCM of Fractions 78/171,4374/8420 is 56862

Greatest Common Factor of 171,8420 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,8420 By Matching Biggest Common Factor Method

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 8420

List of positive integer factors of 8420 that divides 8420 without a remainder.

1,2,4,5,10,20,421,842,1684,2105,4210,8420

Greatest Common Factor

We found the factors 171,8420 . The biggest common factor number is the GCF number.
So the greatest common factor 171,8420 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 78/171, 4374/8420

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 78/171, 4374/8420?

Answer: LCM of Numerators as per given numbers 78/171, 4374/8420 is

LCM of Numerators i.e. for 78,4374 is 56862

GCF of denominators i.e. for 171,8420 is 1.

Thus, LCM of Fractions is 56862.Finally, LCM of Fractions for 78/171, 4374/8420 is 56862.