Least Common Multiple of 40/446, 328/344, 751/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/446, 328/344, 751/364 quickly i.e. 615820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/446, 328/344, 751/364 is 615820.

LCM(40/446, 328/344, 751/364) = 615820

LCM of 40/446, 328/344, 751/364

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 40/446,328/344,751/364

Given numbers are 40/446,328/344,751/364

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 40,328,751

Least Common Multiple of Numerators i.e. LCM of 40,328,751 is 1231640.

GCF of Denominators means GCF of 446,344,364 as per the given fractions.

GCF of 446,344,364 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,328,751

LCM of Fractions 40/446,328/344,751/364 is 615820

2 40, 328, 751
2 20, 164, 751
2 10, 82, 751
5, 41, 751

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 41 x 751 = 1231640

Least Common Multiple of 40,328,751 with GCF Formula

Least Common Multiple of 40,328,751 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 40,328,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,328,751) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(40,328,751) x common factors =1 x 8 = 8

LCM(40,328,751) = ( 40 × 328 × 751 ) / 8

LCM(40,328,751) = 9853120 / 8

LCM(40,328,751) = 1231640


Lets's calculate GCF of 446,344,364

2 446, 344, 364
223, 172, 182

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1231640/2

Therefore the LCM of Fractions 40/446,328/344,751/364 is 615820

Greatest Common Factor of 446,344,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 446,344,364 By Matching Biggest Common Factor Method

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1,2,223,446

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 446,344,364 . The biggest common factor number is the GCF number.
So the greatest common factor 446,344,364 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 40/446, 328/344, 751/364

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 40/446, 328/344, 751/364?

Answer: LCM of Numerators as per given numbers 40/446, 328/344, 751/364 is

LCM of Numerators i.e. for 40,328,751 is 1231640

GCF of denominators i.e. for 446,344,364 is 2.

Thus, LCM of Fractions is 615820.Finally, LCM of Fractions for 40/446, 328/344, 751/364 is 615820.