Least Common Multiple of 59/360, 63/208, 724/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/360, 63/208, 724/948 quickly i.e. 672777 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/360, 63/208, 724/948 is 672777.

LCM(59/360, 63/208, 724/948) = 672777

LCM of 59/360, 63/208, 724/948

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 59/360,63/208,724/948

Given numbers are 59/360,63/208,724/948

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 59,63,724

Least Common Multiple of Numerators i.e. LCM of 59,63,724 is 2691108.

GCF of Denominators means GCF of 360,208,948 as per the given fractions.

GCF of 360,208,948 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,63,724

LCM of Fractions 59/360,63/208,724/948 is 672777

Given numbers has no common factors except 1. So, there LCM is their product i.e 2691108

Least Common Multiple of 59,63,724 with GCF Formula

Least Common Multiple of 59,63,724 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 59,63,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,63,724) = 1

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

GCF(59,63,724) x common factors =1 x 1 = 1

LCM(59,63,724) = ( 59 × 63 × 724 ) / 1

LCM(59,63,724) = 2691108 / 1

LCM(59,63,724) = 2691108


Lets's calculate GCF of 360,208,948

2 360, 208, 948
2 180, 104, 474
90, 52, 237

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2691108/4

Therefore the LCM of Fractions 59/360,63/208,724/948 is 672777

Greatest Common Factor of 360,208,948 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,208,948 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Greatest Common Factor

We found the factors 360,208,948 . The biggest common factor number is the GCF number.
So the greatest common factor 360,208,948 is 4.


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 59/360, 63/208, 724/948

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 59/360, 63/208, 724/948?

Answer: LCM of Numerators as per given numbers 59/360, 63/208, 724/948 is

LCM of Numerators i.e. for 59,63,724 is 2691108

GCF of denominators i.e. for 360,208,948 is 4.

Thus, LCM of Fractions is 672777.Finally, LCM of Fractions for 59/360, 63/208, 724/948 is 672777.