Least Common Multiple of 59/378, 827/137, 585/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/378, 827/137, 585/465 quickly i.e. 28543905 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/378, 827/137, 585/465 is 28543905.

LCM(59/378, 827/137, 585/465) = 28543905

LCM of 59/378, 827/137, 585/465

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 59/378,827/137,585/465

Given numbers are 59/378,827/137,585/465

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 59,827,585

Least Common Multiple of Numerators i.e. LCM of 59,827,585 is 28543905.

GCF of Denominators means GCF of 378,137,465 as per the given fractions.

GCF of 378,137,465 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,827,585

LCM of Fractions 59/378,827/137,585/465 is 28543905

Given numbers has no common factors except 1. So, there LCM is their product i.e 28543905

Least Common Multiple of 59,827,585 with GCF Formula

Least Common Multiple of 59,827,585 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 59,827,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,827,585) = 1

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

GCF(59,827,585) x common factors =1 x 1 = 1

LCM(59,827,585) = ( 59 × 827 × 585 ) / 1

LCM(59,827,585) = 28543905 / 1

LCM(59,827,585) = 28543905


Lets's calculate GCF of 378,137,465

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28543905/1

Therefore the LCM of Fractions 59/378,827/137,585/465 is 28543905

Greatest Common Factor of 378,137,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,137,465 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 378,137,465 . The biggest common factor number is the GCF number.
So the greatest common factor 378,137,465 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 59/378, 827/137, 585/465

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 59/378, 827/137, 585/465?

Answer: LCM of Numerators as per given numbers 59/378, 827/137, 585/465 is

LCM of Numerators i.e. for 59,827,585 is 28543905

GCF of denominators i.e. for 378,137,465 is 1.

Thus, LCM of Fractions is 28543905.Finally, LCM of Fractions for 59/378, 827/137, 585/465 is 28543905.