Least Common Multiple of 41/924, 96/675, 940/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/924, 96/675, 940/970 quickly i.e. 924960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/924, 96/675, 940/970 is 924960.

LCM(41/924, 96/675, 940/970) = 924960

LCM of 41/924, 96/675, 940/970

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 41/924,96/675,940/970

Given numbers are 41/924,96/675,940/970

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 41,96,940

Least Common Multiple of Numerators i.e. LCM of 41,96,940 is 924960.

GCF of Denominators means GCF of 924,675,970 as per the given fractions.

GCF of 924,675,970 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,96,940

LCM of Fractions 41/924,96/675,940/970 is 924960

2 41, 96, 940
2 41, 48, 470
41, 24, 235

∴ So the LCM of the given numbers is 2 x 2 x 41 x 24 x 235 = 924960

Least Common Multiple of 41,96,940 with GCF Formula

Least Common Multiple of 41,96,940 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 41,96,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,96,940) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(41,96,940) x common factors =1 x 4 = 4

LCM(41,96,940) = ( 41 × 96 × 940 ) / 4

LCM(41,96,940) = 3699840 / 4

LCM(41,96,940) = 924960


Lets's calculate GCF of 924,675,970

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 924960/1

Therefore the LCM of Fractions 41/924,96/675,940/970 is 924960

Greatest Common Factor of 924,675,970 By Matching Biggest Common Factor Method

Greatest Common Factor of 924,675,970 By Matching Biggest Common Factor Method

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 970

List of positive integer factors of 970 that divides 970 without a remainder.

1,2,5,10,97,194,485,970

Greatest Common Factor

We found the factors 924,675,970 . The biggest common factor number is the GCF number.
So the greatest common factor 924,675,970 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 41/924, 96/675, 940/970

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 41/924, 96/675, 940/970?

Answer: LCM of Numerators as per given numbers 41/924, 96/675, 940/970 is

LCM of Numerators i.e. for 41,96,940 is 924960

GCF of denominators i.e. for 924,675,970 is 1.

Thus, LCM of Fractions is 924960.Finally, LCM of Fractions for 41/924, 96/675, 940/970 is 924960.