Least Common Multiple of 4167/856, 9180/1315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4167/856, 9180/1315 quickly i.e. 4250340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4167/856, 9180/1315 is 4250340.

LCM(4167/856, 9180/1315) = 4250340

LCM of 4167/856, 9180/1315

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 4167/856,9180/1315

Given numbers are 4167/856,9180/1315

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 4167,9180

Least Common Multiple of Numerators i.e. LCM of 4167,9180 is 4250340.

GCF of Denominators means GCF of 856,1315 as per the given fractions.

GCF of 856,1315 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4167,9180

LCM of Fractions 4167/856,9180/1315 is 4250340

3 4167, 9180
3 1389, 3060
463, 1020

∴ So the LCM of the given numbers is 3 x 3 x 463 x 1020 = 4250340

Least Common Multiple of 4167,9180 with GCF Formula

Least Common Multiple of 4167,9180 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 4167,9180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4167,9180) = 9

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

GCF(4167,9180) x common factors =9 x 1 = 9

LCM(4167,9180) = ( 4167 × 9180 ) / 9

LCM(4167,9180) = 38253060 / 9

LCM(4167,9180) = 4250340


Lets's calculate GCF of 856,1315

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4250340/1

Therefore the LCM of Fractions 4167/856,9180/1315 is 4250340

Greatest Common Factor of 856,1315 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,1315 By Matching Biggest Common Factor Method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 1315

List of positive integer factors of 1315 that divides 1315 without a remainder.

1,5,263,1315

Greatest Common Factor

We found the factors 856,1315 . The biggest common factor number is the GCF number.
So the greatest common factor 856,1315 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 4167/856, 9180/1315

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 4167/856, 9180/1315?

Answer: LCM of Numerators as per given numbers 4167/856, 9180/1315 is

LCM of Numerators i.e. for 4167,9180 is 4250340

GCF of denominators i.e. for 856,1315 is 1.

Thus, LCM of Fractions is 4250340.Finally, LCM of Fractions for 4167/856, 9180/1315 is 4250340.