Least Common Multiple of 37/337, 30/913, 879/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 37/337, 30/913, 879/230 quickly i.e. 325230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/337, 30/913, 879/230 is 325230.

LCM(37/337, 30/913, 879/230) = 325230

LCM of 37/337, 30/913, 879/230

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 37/337,30/913,879/230

Given numbers are 37/337,30/913,879/230

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 37,30,879

Least Common Multiple of Numerators i.e. LCM of 37,30,879 is 325230.

GCF of Denominators means GCF of 337,913,230 as per the given fractions.

GCF of 337,913,230 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,30,879

LCM of Fractions 37/337,30/913,879/230 is 325230

3 37, 30, 879
37, 10, 293

∴ So the LCM of the given numbers is 3 x 37 x 10 x 293 = 325230

Least Common Multiple of 37,30,879 with GCF Formula

Least Common Multiple of 37,30,879 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 37,30,879 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,30,879) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(37,30,879) x common factors =1 x 3 = 3

LCM(37,30,879) = ( 37 × 30 × 879 ) / 3

LCM(37,30,879) = 975690 / 3

LCM(37,30,879) = 325230


Lets's calculate GCF of 337,913,230

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 325230/1

Therefore the LCM of Fractions 37/337,30/913,879/230 is 325230

Greatest Common Factor of 337,913,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 337,913,230 By Matching Biggest Common Factor Method

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 337,913,230 . The biggest common factor number is the GCF number.
So the greatest common factor 337,913,230 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 37/337, 30/913, 879/230

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 37/337, 30/913, 879/230?

Answer: LCM of Numerators as per given numbers 37/337, 30/913, 879/230 is

LCM of Numerators i.e. for 37,30,879 is 325230

GCF of denominators i.e. for 337,913,230 is 1.

Thus, LCM of Fractions is 325230.Finally, LCM of Fractions for 37/337, 30/913, 879/230 is 325230.