Least Common Multiple of 977/69, 7227/416

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 977/69, 7227/416 quickly i.e. 7060779 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 977/69, 7227/416 is 7060779.

LCM(977/69, 7227/416) = 7060779

LCM of 977/69, 7227/416

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 977/69,7227/416

Given numbers are 977/69,7227/416

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 977,7227

Least Common Multiple of Numerators i.e. LCM of 977,7227 is 7060779.

GCF of Denominators means GCF of 69,416 as per the given fractions.

GCF of 69,416 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 977,7227

LCM of Fractions 977/69,7227/416 is 7060779

Given numbers has no common factors except 1. So, there LCM is their product i.e 7060779

Least Common Multiple of 977,7227 with GCF Formula

Least Common Multiple of 977,7227 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 977,7227 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(977,7227) = 1

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

GCF(977,7227) x common factors =1 x 1 = 1

LCM(977,7227) = ( 977 × 7227 ) / 1

LCM(977,7227) = 7060779 / 1

LCM(977,7227) = 7060779


Lets's calculate GCF of 69,416

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7060779/1

Therefore the LCM of Fractions 977/69,7227/416 is 7060779

Greatest Common Factor of 69,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,416 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 69,416 . The biggest common factor number is the GCF number.
So the greatest common factor 69,416 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 977/69, 7227/416

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 977/69, 7227/416?

Answer: LCM of Numerators as per given numbers 977/69, 7227/416 is

LCM of Numerators i.e. for 977,7227 is 7060779

GCF of denominators i.e. for 69,416 is 1.

Thus, LCM of Fractions is 7060779.Finally, LCM of Fractions for 977/69, 7227/416 is 7060779.