Least Common Multiple of 920/202, 4611/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 920/202, 4611/314 quickly i.e. 2121060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 920/202, 4611/314 is 2121060.

LCM(920/202, 4611/314) = 2121060

LCM of 920/202, 4611/314

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 920/202,4611/314

Given numbers are 920/202,4611/314

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 920,4611

Least Common Multiple of Numerators i.e. LCM of 920,4611 is 4242120.

GCF of Denominators means GCF of 202,314 as per the given fractions.

GCF of 202,314 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 920,4611

LCM of Fractions 920/202,4611/314 is 2121060

Given numbers has no common factors except 1. So, there LCM is their product i.e 4242120

Least Common Multiple of 920,4611 with GCF Formula

Least Common Multiple of 920,4611 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 920,4611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,4611) = 1

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

GCF(920,4611) x common factors =1 x 1 = 1

LCM(920,4611) = ( 920 × 4611 ) / 1

LCM(920,4611) = 4242120 / 1

LCM(920,4611) = 4242120


Lets's calculate GCF of 202,314

2 202, 314
101, 157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4242120/2

Therefore the LCM of Fractions 920/202,4611/314 is 2121060

Greatest Common Factor of 202,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 202,314 By Matching Biggest Common Factor Method

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 202,314 . The biggest common factor number is the GCF number.
So the greatest common factor 202,314 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 920/202, 4611/314

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 920/202, 4611/314?

Answer: LCM of Numerators as per given numbers 920/202, 4611/314 is

LCM of Numerators i.e. for 920,4611 is 4242120

GCF of denominators i.e. for 202,314 is 2.

Thus, LCM of Fractions is 2121060.Finally, LCM of Fractions for 920/202, 4611/314 is 2121060.