Least Common Multiple of 58/64, 57/60, 182/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/64, 57/60, 182/280 quickly i.e. 300846/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/64, 57/60, 182/280 is 300846/4.

LCM(58/64, 57/60, 182/280) = 300846/4

LCM of 58/64, 57/60, 182/280

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 58/64,57/60,182/280

Given numbers are 58/64,57/60,182/280

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 58,57,182

Least Common Multiple of Numerators i.e. LCM of 58,57,182 is 300846.

GCF of Denominators means GCF of 64,60,280 as per the given fractions.

GCF of 64,60,280 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,57,182

LCM of Fractions 58/64,57/60,182/280 is 300846/4

2 58, 57, 182
29, 57, 91

∴ So the LCM of the given numbers is 2 x 29 x 57 x 91 = 300846

Least Common Multiple of 58,57,182 with GCF Formula

Least Common Multiple of 58,57,182 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 58,57,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,57,182) = 1

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

GCF(58,57,182) x common factors =1 x 2 = 2

LCM(58,57,182) = ( 58 × 57 × 182 ) / 2

LCM(58,57,182) = 601692 / 2

LCM(58,57,182) = 300846


Lets's calculate GCF of 64,60,280

2 64, 60, 280
2 32, 30, 140
16, 15, 70

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 300846/4

Therefore the LCM of Fractions 58/64,57/60,182/280 is 300846/4

Greatest Common Factor of 64,60,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,60,280 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 64,60,280 . The biggest common factor number is the GCF number.
So the greatest common factor 64,60,280 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 58/64, 57/60, 182/280

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 58/64, 57/60, 182/280?

Answer: LCM of Numerators as per given numbers 58/64, 57/60, 182/280 is

LCM of Numerators i.e. for 58,57,182 is 300846

GCF of denominators i.e. for 64,60,280 is 4.

Thus, LCM of Fractions is 300846/4.Finally, LCM of Fractions for 58/64, 57/60, 182/280 is 300846/4.