Least Common Multiple of 30/910, 1486/4927

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/910, 1486/4927 quickly i.e. 22290/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/910, 1486/4927 is 22290/13.

LCM(30/910, 1486/4927) = 22290/13

LCM of 30/910, 1486/4927

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 30/910,1486/4927

Given numbers are 30/910,1486/4927

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 30,1486

Least Common Multiple of Numerators i.e. LCM of 30,1486 is 22290.

GCF of Denominators means GCF of 910,4927 as per the given fractions.

GCF of 910,4927 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,1486

LCM of Fractions 30/910,1486/4927 is 22290/13

2 30, 1486
15, 743

∴ So the LCM of the given numbers is 2 x 15 x 743 = 22290

Least Common Multiple of 30,1486 with GCF Formula

Least Common Multiple of 30,1486 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 30,1486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,1486) = 2

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

GCF(30,1486) x common factors =2 x 1 = 2

LCM(30,1486) = ( 30 × 1486 ) / 2

LCM(30,1486) = 44580 / 2

LCM(30,1486) = 22290


Lets's calculate GCF of 910,4927

13 910, 4927
70, 379

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22290/13

Therefore the LCM of Fractions 30/910,1486/4927 is 22290/13

Greatest Common Factor of 910,4927 By Matching Biggest Common Factor Method

Greatest Common Factor of 910,4927 By Matching Biggest Common Factor Method

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Factors of 4927

List of positive integer factors of 4927 that divides 4927 without a remainder.

1,13,379,4927

Greatest Common Factor

We found the factors 910,4927 . The biggest common factor number is the GCF number.
So the greatest common factor 910,4927 is 13.


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 30/910, 1486/4927

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 30/910, 1486/4927?

Answer: LCM of Numerators as per given numbers 30/910, 1486/4927 is

LCM of Numerators i.e. for 30,1486 is 22290

GCF of denominators i.e. for 910,4927 is 13.

Thus, LCM of Fractions is 22290/13.Finally, LCM of Fractions for 30/910, 1486/4927 is 22290/13.