Least Common Multiple of 41/918, 788/791, 324/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/918, 788/791, 324/812 quickly i.e. 2616948 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/918, 788/791, 324/812 is 2616948.

LCM(41/918, 788/791, 324/812) = 2616948

LCM of 41/918, 788/791, 324/812

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 41/918,788/791,324/812

Given numbers are 41/918,788/791,324/812

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 41,788,324

Least Common Multiple of Numerators i.e. LCM of 41,788,324 is 2616948.

GCF of Denominators means GCF of 918,791,812 as per the given fractions.

GCF of 918,791,812 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,788,324

LCM of Fractions 41/918,788/791,324/812 is 2616948

2 41, 788, 324
2 41, 394, 162
41, 197, 81

∴ So the LCM of the given numbers is 2 x 2 x 41 x 197 x 81 = 2616948

Least Common Multiple of 41,788,324 with GCF Formula

Least Common Multiple of 41,788,324 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 41,788,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,788,324) = 1

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

GCF(41,788,324) x common factors =1 x 4 = 4

LCM(41,788,324) = ( 41 × 788 × 324 ) / 4

LCM(41,788,324) = 10467792 / 4

LCM(41,788,324) = 2616948


Lets's calculate GCF of 918,791,812

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2616948/1

Therefore the LCM of Fractions 41/918,788/791,324/812 is 2616948

Greatest Common Factor of 918,791,812 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,791,812 By Matching Biggest Common Factor Method

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Factors of 812

List of positive integer factors of 812 that divides 812 without a remainder.

1,2,4,7,14,28,29,58,116,203,406,812

Greatest Common Factor

We found the factors 918,791,812 . The biggest common factor number is the GCF number.
So the greatest common factor 918,791,812 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 41/918, 788/791, 324/812

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 41/918, 788/791, 324/812?

Answer: LCM of Numerators as per given numbers 41/918, 788/791, 324/812 is

LCM of Numerators i.e. for 41,788,324 is 2616948

GCF of denominators i.e. for 918,791,812 is 1.

Thus, LCM of Fractions is 2616948.Finally, LCM of Fractions for 41/918, 788/791, 324/812 is 2616948.