Least Common Multiple of 321/211, 218/448, 977/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 321/211, 218/448, 977/956 quickly i.e. 68368506 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 321/211, 218/448, 977/956 is 68368506.

LCM(321/211, 218/448, 977/956) = 68368506

LCM of 321/211, 218/448, 977/956

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 321/211,218/448,977/956

Given numbers are 321/211,218/448,977/956

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 321,218,977

Least Common Multiple of Numerators i.e. LCM of 321,218,977 is 68368506.

GCF of Denominators means GCF of 211,448,956 as per the given fractions.

GCF of 211,448,956 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 321,218,977

LCM of Fractions 321/211,218/448,977/956 is 68368506

Given numbers has no common factors except 1. So, there LCM is their product i.e 68368506

Least Common Multiple of 321,218,977 with GCF Formula

Least Common Multiple of 321,218,977 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 321,218,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,218,977) = 1

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

GCF(321,218,977) x common factors =1 x 1 = 1

LCM(321,218,977) = ( 321 × 218 × 977 ) / 1

LCM(321,218,977) = 68368506 / 1

LCM(321,218,977) = 68368506


Lets's calculate GCF of 211,448,956

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68368506/1

Therefore the LCM of Fractions 321/211,218/448,977/956 is 68368506

Greatest Common Factor of 211,448,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 211,448,956 By Matching Biggest Common Factor Method

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 211,448,956 . The biggest common factor number is the GCF number.
So the greatest common factor 211,448,956 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 321/211, 218/448, 977/956

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 321/211, 218/448, 977/956?

Answer: LCM of Numerators as per given numbers 321/211, 218/448, 977/956 is

LCM of Numerators i.e. for 321,218,977 is 68368506

GCF of denominators i.e. for 211,448,956 is 1.

Thus, LCM of Fractions is 68368506.Finally, LCM of Fractions for 321/211, 218/448, 977/956 is 68368506.