Least Common Multiple of 91/310, 222/974, 977/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/310, 222/974, 977/564 quickly i.e. 9868677 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/310, 222/974, 977/564 is 9868677.

LCM(91/310, 222/974, 977/564) = 9868677

LCM of 91/310, 222/974, 977/564

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 91/310,222/974,977/564

Given numbers are 91/310,222/974,977/564

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 91,222,977

Least Common Multiple of Numerators i.e. LCM of 91,222,977 is 19737354.

GCF of Denominators means GCF of 310,974,564 as per the given fractions.

GCF of 310,974,564 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,222,977

LCM of Fractions 91/310,222/974,977/564 is 9868677

Given numbers has no common factors except 1. So, there LCM is their product i.e 19737354

Least Common Multiple of 91,222,977 with GCF Formula

Least Common Multiple of 91,222,977 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 91,222,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,222,977) = 1

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

GCF(91,222,977) x common factors =1 x 1 = 1

LCM(91,222,977) = ( 91 × 222 × 977 ) / 1

LCM(91,222,977) = 19737354 / 1

LCM(91,222,977) = 19737354


Lets's calculate GCF of 310,974,564

2 310, 974, 564
155, 487, 282

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19737354/2

Therefore the LCM of Fractions 91/310,222/974,977/564 is 9868677

Greatest Common Factor of 310,974,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 310,974,564 By Matching Biggest Common Factor Method

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 310,974,564 . The biggest common factor number is the GCF number.
So the greatest common factor 310,974,564 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 91/310, 222/974, 977/564

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 91/310, 222/974, 977/564?

Answer: LCM of Numerators as per given numbers 91/310, 222/974, 977/564 is

LCM of Numerators i.e. for 91,222,977 is 19737354

GCF of denominators i.e. for 310,974,564 is 2.

Thus, LCM of Fractions is 9868677.Finally, LCM of Fractions for 91/310, 222/974, 977/564 is 9868677.