Least Common Multiple of 58/16, 780/75, 956/607

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/16, 780/75, 956/607 quickly i.e. 5406180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/16, 780/75, 956/607 is 5406180.

LCM(58/16, 780/75, 956/607) = 5406180

LCM of 58/16, 780/75, 956/607

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 58/16,780/75,956/607

Given numbers are 58/16,780/75,956/607

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 58,780,956

Least Common Multiple of Numerators i.e. LCM of 58,780,956 is 5406180.

GCF of Denominators means GCF of 16,75,607 as per the given fractions.

GCF of 16,75,607 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,780,956

LCM of Fractions 58/16,780/75,956/607 is 5406180

2 58, 780, 956
2 29, 390, 478
29, 195, 239

∴ So the LCM of the given numbers is 2 x 2 x 29 x 195 x 239 = 5406180

Least Common Multiple of 58,780,956 with GCF Formula

Least Common Multiple of 58,780,956 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 58,780,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,780,956) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(58,780,956) x common factors =2 x 4 = 8

LCM(58,780,956) = ( 58 × 780 × 956 ) / 8

LCM(58,780,956) = 43249440 / 8

LCM(58,780,956) = 5406180


Lets's calculate GCF of 16,75,607

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5406180/1

Therefore the LCM of Fractions 58/16,780/75,956/607 is 5406180

Greatest Common Factor of 16,75,607 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,75,607 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Greatest Common Factor

We found the factors 16,75,607 . The biggest common factor number is the GCF number.
So the greatest common factor 16,75,607 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 58/16, 780/75, 956/607

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 58/16, 780/75, 956/607?

Answer: LCM of Numerators as per given numbers 58/16, 780/75, 956/607 is

LCM of Numerators i.e. for 58,780,956 is 5406180

GCF of denominators i.e. for 16,75,607 is 1.

Thus, LCM of Fractions is 5406180.Finally, LCM of Fractions for 58/16, 780/75, 956/607 is 5406180.