Least Common Multiple of 438/175, 391/310, 535/936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 438/175, 391/310, 535/936 quickly i.e. 91623030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 438/175, 391/310, 535/936 is 91623030.

LCM(438/175, 391/310, 535/936) = 91623030

LCM of 438/175, 391/310, 535/936

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 438/175,391/310,535/936

Given numbers are 438/175,391/310,535/936

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 438,391,535

Least Common Multiple of Numerators i.e. LCM of 438,391,535 is 91623030.

GCF of Denominators means GCF of 175,310,936 as per the given fractions.

GCF of 175,310,936 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 438,391,535

LCM of Fractions 438/175,391/310,535/936 is 91623030

Given numbers has no common factors except 1. So, there LCM is their product i.e 91623030

Least Common Multiple of 438,391,535 with GCF Formula

Least Common Multiple of 438,391,535 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 438,391,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,391,535) = 1

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

GCF(438,391,535) x common factors =1 x 1 = 1

LCM(438,391,535) = ( 438 × 391 × 535 ) / 1

LCM(438,391,535) = 91623030 / 1

LCM(438,391,535) = 91623030


Lets's calculate GCF of 175,310,936

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91623030/1

Therefore the LCM of Fractions 438/175,391/310,535/936 is 91623030

Greatest Common Factor of 175,310,936 By Matching Biggest Common Factor Method

Greatest Common Factor of 175,310,936 By Matching Biggest Common Factor Method

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Greatest Common Factor

We found the factors 175,310,936 . The biggest common factor number is the GCF number.
So the greatest common factor 175,310,936 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 438/175, 391/310, 535/936

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 438/175, 391/310, 535/936?

Answer: LCM of Numerators as per given numbers 438/175, 391/310, 535/936 is

LCM of Numerators i.e. for 438,391,535 is 91623030

GCF of denominators i.e. for 175,310,936 is 1.

Thus, LCM of Fractions is 91623030.Finally, LCM of Fractions for 438/175, 391/310, 535/936 is 91623030.