Least Common Multiple of 914/58, 571/90, 642/372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 914/58, 571/90, 642/372 quickly i.e. 83763987 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 914/58, 571/90, 642/372 is 83763987.

LCM(914/58, 571/90, 642/372) = 83763987

LCM of 914/58, 571/90, 642/372

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 914/58,571/90,642/372

Given numbers are 914/58,571/90,642/372

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 914,571,642

Least Common Multiple of Numerators i.e. LCM of 914,571,642 is 167527974.

GCF of Denominators means GCF of 58,90,372 as per the given fractions.

GCF of 58,90,372 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 914,571,642

LCM of Fractions 914/58,571/90,642/372 is 83763987

2 914, 571, 642
457, 571, 321

∴ So the LCM of the given numbers is 2 x 457 x 571 x 321 = 167527974

Least Common Multiple of 914,571,642 with GCF Formula

Least Common Multiple of 914,571,642 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 914,571,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(914,571,642) = 1

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

GCF(914,571,642) x common factors =1 x 2 = 2

LCM(914,571,642) = ( 914 × 571 × 642 ) / 2

LCM(914,571,642) = 335055948 / 2

LCM(914,571,642) = 167527974


Lets's calculate GCF of 58,90,372

2 58, 90, 372
29, 45, 186

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 167527974/2

Therefore the LCM of Fractions 914/58,571/90,642/372 is 83763987

Greatest Common Factor of 58,90,372 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,90,372 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Greatest Common Factor

We found the factors 58,90,372 . The biggest common factor number is the GCF number.
So the greatest common factor 58,90,372 is 2.


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 914/58, 571/90, 642/372

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 914/58, 571/90, 642/372?

Answer: LCM of Numerators as per given numbers 914/58, 571/90, 642/372 is

LCM of Numerators i.e. for 914,571,642 is 167527974

GCF of denominators i.e. for 58,90,372 is 2.

Thus, LCM of Fractions is 83763987.Finally, LCM of Fractions for 914/58, 571/90, 642/372 is 83763987.