Least Common Multiple of 41/10, 30/84, 77/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/10, 30/84, 77/962 quickly i.e. 47355 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/10, 30/84, 77/962 is 47355.

LCM(41/10, 30/84, 77/962) = 47355

LCM of 41/10, 30/84, 77/962

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 41/10,30/84,77/962

Given numbers are 41/10,30/84,77/962

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 41,30,77

Least Common Multiple of Numerators i.e. LCM of 41,30,77 is 94710.

GCF of Denominators means GCF of 10,84,962 as per the given fractions.

GCF of 10,84,962 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,30,77

LCM of Fractions 41/10,30/84,77/962 is 47355

Given numbers has no common factors except 1. So, there LCM is their product i.e 94710

Least Common Multiple of 41,30,77 with GCF Formula

Least Common Multiple of 41,30,77 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 41,30,77 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,30,77) = 1

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

GCF(41,30,77) x common factors =1 x 1 = 1

LCM(41,30,77) = ( 41 × 30 × 77 ) / 1

LCM(41,30,77) = 94710 / 1

LCM(41,30,77) = 94710


Lets's calculate GCF of 10,84,962

2 10, 84, 962
5, 42, 481

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94710/2

Therefore the LCM of Fractions 41/10,30/84,77/962 is 47355

Greatest Common Factor of 10,84,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,84,962 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 10,84,962 . The biggest common factor number is the GCF number.
So the greatest common factor 10,84,962 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 41/10, 30/84, 77/962

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 41/10, 30/84, 77/962?

Answer: LCM of Numerators as per given numbers 41/10, 30/84, 77/962 is

LCM of Numerators i.e. for 41,30,77 is 94710

GCF of denominators i.e. for 10,84,962 is 2.

Thus, LCM of Fractions is 47355.Finally, LCM of Fractions for 41/10, 30/84, 77/962 is 47355.