Least Common Multiple of 440/12, 634/22, 317/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 440/12, 634/22, 317/930 quickly i.e. 69740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 440/12, 634/22, 317/930 is 69740.

LCM(440/12, 634/22, 317/930) = 69740

LCM of 440/12, 634/22, 317/930

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 440/12,634/22,317/930

Given numbers are 440/12,634/22,317/930

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 440,634,317

Least Common Multiple of Numerators i.e. LCM of 440,634,317 is 139480.

GCF of Denominators means GCF of 12,22,930 as per the given fractions.

GCF of 12,22,930 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 440,634,317

LCM of Fractions 440/12,634/22,317/930 is 69740

2 440, 634, 317
317 220, 317, 317
220, 1, 1

∴ So the LCM of the given numbers is 2 x 317 x 220 x 1 x 1 = 139480

Least Common Multiple of 440,634,317 with GCF Formula

Least Common Multiple of 440,634,317 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 440,634,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(440,634,317) = 1

common factors(in case of two or more numbers have common factors) = 634

GCF(440,634,317) x common factors =1 x 634 = 634

LCM(440,634,317) = ( 440 × 634 × 317 ) / 634

LCM(440,634,317) = 88430320 / 634

LCM(440,634,317) = 139480


Lets's calculate GCF of 12,22,930

2 12, 22, 930
6, 11, 465

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 139480/2

Therefore the LCM of Fractions 440/12,634/22,317/930 is 69740

Greatest Common Factor of 12,22,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,22,930 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 12,22,930 . The biggest common factor number is the GCF number.
So the greatest common factor 12,22,930 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 440/12, 634/22, 317/930

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 440/12, 634/22, 317/930?

Answer: LCM of Numerators as per given numbers 440/12, 634/22, 317/930 is

LCM of Numerators i.e. for 440,634,317 is 139480

GCF of denominators i.e. for 12,22,930 is 2.

Thus, LCM of Fractions is 69740.Finally, LCM of Fractions for 440/12, 634/22, 317/930 is 69740.