Least Common Multiple of 30/913, 527/691, 694/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/913, 527/691, 694/580 quickly i.e. 5486070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/913, 527/691, 694/580 is 5486070.

LCM(30/913, 527/691, 694/580) = 5486070

LCM of 30/913, 527/691, 694/580

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 30/913,527/691,694/580

Given numbers are 30/913,527/691,694/580

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 30,527,694

Least Common Multiple of Numerators i.e. LCM of 30,527,694 is 5486070.

GCF of Denominators means GCF of 913,691,580 as per the given fractions.

GCF of 913,691,580 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,527,694

LCM of Fractions 30/913,527/691,694/580 is 5486070

2 30, 527, 694
15, 527, 347

∴ So the LCM of the given numbers is 2 x 15 x 527 x 347 = 5486070

Least Common Multiple of 30,527,694 with GCF Formula

Least Common Multiple of 30,527,694 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 30,527,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,527,694) = 1

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

GCF(30,527,694) x common factors =1 x 2 = 2

LCM(30,527,694) = ( 30 × 527 × 694 ) / 2

LCM(30,527,694) = 10972140 / 2

LCM(30,527,694) = 5486070


Lets's calculate GCF of 913,691,580

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5486070/1

Therefore the LCM of Fractions 30/913,527/691,694/580 is 5486070

Greatest Common Factor of 913,691,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 913,691,580 By Matching Biggest Common Factor Method

Factors of 913

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

1,11,83,913

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 913,691,580 . The biggest common factor number is the GCF number.
So the greatest common factor 913,691,580 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 30/913, 527/691, 694/580

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 30/913, 527/691, 694/580?

Answer: LCM of Numerators as per given numbers 30/913, 527/691, 694/580 is

LCM of Numerators i.e. for 30,527,694 is 5486070

GCF of denominators i.e. for 913,691,580 is 1.

Thus, LCM of Fractions is 5486070.Finally, LCM of Fractions for 30/913, 527/691, 694/580 is 5486070.