Least Common Multiple of 36/432, 217/612, 278/907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/432, 217/612, 278/907 quickly i.e. 1085868 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/432, 217/612, 278/907 is 1085868.

LCM(36/432, 217/612, 278/907) = 1085868

LCM of 36/432, 217/612, 278/907

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 36/432,217/612,278/907

Given numbers are 36/432,217/612,278/907

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 36,217,278

Least Common Multiple of Numerators i.e. LCM of 36,217,278 is 1085868.

GCF of Denominators means GCF of 432,612,907 as per the given fractions.

GCF of 432,612,907 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,217,278

LCM of Fractions 36/432,217/612,278/907 is 1085868

2 36, 217, 278
18, 217, 139

∴ So the LCM of the given numbers is 2 x 18 x 217 x 139 = 1085868

Least Common Multiple of 36,217,278 with GCF Formula

Least Common Multiple of 36,217,278 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 36,217,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,217,278) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(36,217,278) x common factors =1 x 2 = 2

LCM(36,217,278) = ( 36 × 217 × 278 ) / 2

LCM(36,217,278) = 2171736 / 2

LCM(36,217,278) = 1085868


Lets's calculate GCF of 432,612,907

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1085868/1

Therefore the LCM of Fractions 36/432,217/612,278/907 is 1085868

Greatest Common Factor of 432,612,907 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,612,907 By Matching Biggest Common Factor Method

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 907

List of positive integer factors of 907 that divides 907 without a remainder.

1,907

Greatest Common Factor

We found the factors 432,612,907 . The biggest common factor number is the GCF number.
So the greatest common factor 432,612,907 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 36/432, 217/612, 278/907

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 36/432, 217/612, 278/907?

Answer: LCM of Numerators as per given numbers 36/432, 217/612, 278/907 is

LCM of Numerators i.e. for 36,217,278 is 1085868

GCF of denominators i.e. for 432,612,907 is 1.

Thus, LCM of Fractions is 1085868.Finally, LCM of Fractions for 36/432, 217/612, 278/907 is 1085868.