Least Common Multiple of 3855/977, 9911/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3855/977, 9911/748 quickly i.e. 38206905 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3855/977, 9911/748 is 38206905.

LCM(3855/977, 9911/748) = 38206905

LCM of 3855/977, 9911/748

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 3855/977,9911/748

Given numbers are 3855/977,9911/748

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 3855,9911

Least Common Multiple of Numerators i.e. LCM of 3855,9911 is 38206905.

GCF of Denominators means GCF of 977,748 as per the given fractions.

GCF of 977,748 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3855,9911

LCM of Fractions 3855/977,9911/748 is 38206905

Given numbers has no common factors except 1. So, there LCM is their product i.e 38206905

Least Common Multiple of 3855,9911 with GCF Formula

Least Common Multiple of 3855,9911 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 3855,9911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3855,9911) = 1

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

GCF(3855,9911) x common factors =1 x 1 = 1

LCM(3855,9911) = ( 3855 × 9911 ) / 1

LCM(3855,9911) = 38206905 / 1

LCM(3855,9911) = 38206905


Lets's calculate GCF of 977,748

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38206905/1

Therefore the LCM of Fractions 3855/977,9911/748 is 38206905

Greatest Common Factor of 977,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 977,748 By Matching Biggest Common Factor Method

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 977,748 . The biggest common factor number is the GCF number.
So the greatest common factor 977,748 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 3855/977, 9911/748

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 3855/977, 9911/748?

Answer: LCM of Numerators as per given numbers 3855/977, 9911/748 is

LCM of Numerators i.e. for 3855,9911 is 38206905

GCF of denominators i.e. for 977,748 is 1.

Thus, LCM of Fractions is 38206905.Finally, LCM of Fractions for 3855/977, 9911/748 is 38206905.