Least Common Multiple of 312/90, 7146/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/90, 7146/428 quickly i.e. 185796 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/90, 7146/428 is 185796.

LCM(312/90, 7146/428) = 185796

LCM of 312/90, 7146/428

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 312/90,7146/428

Given numbers are 312/90,7146/428

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 312,7146

Least Common Multiple of Numerators i.e. LCM of 312,7146 is 371592.

GCF of Denominators means GCF of 90,428 as per the given fractions.

GCF of 90,428 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,7146

LCM of Fractions 312/90,7146/428 is 185796

2 312, 7146
3 156, 3573
52, 1191

∴ So the LCM of the given numbers is 2 x 3 x 52 x 1191 = 371592

Least Common Multiple of 312,7146 with GCF Formula

Least Common Multiple of 312,7146 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 312,7146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,7146) = 6

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

GCF(312,7146) x common factors =6 x 1 = 6

LCM(312,7146) = ( 312 × 7146 ) / 6

LCM(312,7146) = 2229552 / 6

LCM(312,7146) = 371592


Lets's calculate GCF of 90,428

2 90, 428
45, 214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 371592/2

Therefore the LCM of Fractions 312/90,7146/428 is 185796

Greatest Common Factor of 90,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,428 By Matching Biggest Common Factor Method

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 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 90,428 . The biggest common factor number is the GCF number.
So the greatest common factor 90,428 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 312/90, 7146/428

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 312/90, 7146/428?

Answer: LCM of Numerators as per given numbers 312/90, 7146/428 is

LCM of Numerators i.e. for 312,7146 is 371592

GCF of denominators i.e. for 90,428 is 2.

Thus, LCM of Fractions is 185796.Finally, LCM of Fractions for 312/90, 7146/428 is 185796.