Least Common Multiple of 146/21, 188/86, 916/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 146/21, 188/86, 916/747 quickly i.e. 3142796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 146/21, 188/86, 916/747 is 3142796.

LCM(146/21, 188/86, 916/747) = 3142796

LCM of 146/21, 188/86, 916/747

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 146/21,188/86,916/747

Given numbers are 146/21,188/86,916/747

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 146,188,916

Least Common Multiple of Numerators i.e. LCM of 146,188,916 is 3142796.

GCF of Denominators means GCF of 21,86,747 as per the given fractions.

GCF of 21,86,747 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 146,188,916

LCM of Fractions 146/21,188/86,916/747 is 3142796

2 146, 188, 916
2 73, 94, 458
73, 47, 229

∴ So the LCM of the given numbers is 2 x 2 x 73 x 47 x 229 = 3142796

Least Common Multiple of 146,188,916 with GCF Formula

Least Common Multiple of 146,188,916 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 146,188,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,188,916) = 2

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

GCF(146,188,916) x common factors =2 x 4 = 8

LCM(146,188,916) = ( 146 × 188 × 916 ) / 8

LCM(146,188,916) = 25142368 / 8

LCM(146,188,916) = 3142796


Lets's calculate GCF of 21,86,747

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3142796/1

Therefore the LCM of Fractions 146/21,188/86,916/747 is 3142796

Greatest Common Factor of 21,86,747 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,86,747 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Greatest Common Factor

We found the factors 21,86,747 . The biggest common factor number is the GCF number.
So the greatest common factor 21,86,747 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 146/21, 188/86, 916/747

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 146/21, 188/86, 916/747?

Answer: LCM of Numerators as per given numbers 146/21, 188/86, 916/747 is

LCM of Numerators i.e. for 146,188,916 is 3142796

GCF of denominators i.e. for 21,86,747 is 1.

Thus, LCM of Fractions is 3142796.Finally, LCM of Fractions for 146/21, 188/86, 916/747 is 3142796.