Least Common Multiple of 7771/386, 4920/974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7771/386, 4920/974 quickly i.e. 19116660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7771/386, 4920/974 is 19116660.

LCM(7771/386, 4920/974) = 19116660

LCM of 7771/386, 4920/974

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 7771/386,4920/974

Given numbers are 7771/386,4920/974

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 7771,4920

Least Common Multiple of Numerators i.e. LCM of 7771,4920 is 38233320.

GCF of Denominators means GCF of 386,974 as per the given fractions.

GCF of 386,974 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7771,4920

LCM of Fractions 7771/386,4920/974 is 19116660

Given numbers has no common factors except 1. So, there LCM is their product i.e 38233320

Least Common Multiple of 7771,4920 with GCF Formula

Least Common Multiple of 7771,4920 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 7771,4920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7771,4920) = 1

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

GCF(7771,4920) x common factors =1 x 1 = 1

LCM(7771,4920) = ( 7771 × 4920 ) / 1

LCM(7771,4920) = 38233320 / 1

LCM(7771,4920) = 38233320


Lets's calculate GCF of 386,974

2 386, 974
193, 487

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38233320/2

Therefore the LCM of Fractions 7771/386,4920/974 is 19116660

Greatest Common Factor of 386,974 By Matching Biggest Common Factor Method

Greatest Common Factor of 386,974 By Matching Biggest Common Factor Method

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Factors of 974

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

1,2,487,974

Greatest Common Factor

We found the factors 386,974 . The biggest common factor number is the GCF number.
So the greatest common factor 386,974 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 7771/386, 4920/974

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 7771/386, 4920/974?

Answer: LCM of Numerators as per given numbers 7771/386, 4920/974 is

LCM of Numerators i.e. for 7771,4920 is 38233320

GCF of denominators i.e. for 386,974 is 2.

Thus, LCM of Fractions is 19116660.Finally, LCM of Fractions for 7771/386, 4920/974 is 19116660.