Least Common Multiple of 92/612, 21/996, 125/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/612, 21/996, 125/510 quickly i.e. 40250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/612, 21/996, 125/510 is 40250.

LCM(92/612, 21/996, 125/510) = 40250

LCM of 92/612, 21/996, 125/510

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 92/612,21/996,125/510

Given numbers are 92/612,21/996,125/510

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 92,21,125

Least Common Multiple of Numerators i.e. LCM of 92,21,125 is 241500.

GCF of Denominators means GCF of 612,996,510 as per the given fractions.

GCF of 612,996,510 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,21,125

LCM of Fractions 92/612,21/996,125/510 is 40250

Given numbers has no common factors except 1. So, there LCM is their product i.e 241500

Least Common Multiple of 92,21,125 with GCF Formula

Least Common Multiple of 92,21,125 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 92,21,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,21,125) = 1

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

GCF(92,21,125) x common factors =1 x 1 = 1

LCM(92,21,125) = ( 92 × 21 × 125 ) / 1

LCM(92,21,125) = 241500 / 1

LCM(92,21,125) = 241500


Lets's calculate GCF of 612,996,510

2 612, 996, 510
3 306, 498, 255
102, 166, 85

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 241500/6

Therefore the LCM of Fractions 92/612,21/996,125/510 is 40250

Greatest Common Factor of 612,996,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,996,510 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Factors of 510

List of positive integer factors of 510 that divides 510 without a remainder.

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 612,996,510 . The biggest common factor number is the GCF number.
So the greatest common factor 612,996,510 is 6.


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 92/612, 21/996, 125/510

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 92/612, 21/996, 125/510?

Answer: LCM of Numerators as per given numbers 92/612, 21/996, 125/510 is

LCM of Numerators i.e. for 92,21,125 is 241500

GCF of denominators i.e. for 612,996,510 is 6.

Thus, LCM of Fractions is 40250.Finally, LCM of Fractions for 92/612, 21/996, 125/510 is 40250.