Least Common Multiple of 315/75, 537/72, 806/92

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 315/75, 537/72, 806/92 quickly i.e. 45446310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 315/75, 537/72, 806/92 is 45446310.

LCM(315/75, 537/72, 806/92) = 45446310

LCM of 315/75, 537/72, 806/92

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 315/75,537/72,806/92

Given numbers are 315/75,537/72,806/92

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 315,537,806

Least Common Multiple of Numerators i.e. LCM of 315,537,806 is 45446310.

GCF of Denominators means GCF of 75,72,92 as per the given fractions.

GCF of 75,72,92 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 315,537,806

LCM of Fractions 315/75,537/72,806/92 is 45446310

3 315, 537, 806
105, 179, 806

∴ So the LCM of the given numbers is 3 x 105 x 179 x 806 = 45446310

Least Common Multiple of 315,537,806 with GCF Formula

Least Common Multiple of 315,537,806 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 315,537,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,537,806) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(315,537,806) x common factors =1 x 3 = 3

LCM(315,537,806) = ( 315 × 537 × 806 ) / 3

LCM(315,537,806) = 136338930 / 3

LCM(315,537,806) = 45446310


Lets's calculate GCF of 75,72,92

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45446310/1

Therefore the LCM of Fractions 315/75,537/72,806/92 is 45446310

Greatest Common Factor of 75,72,92 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,72,92 By Matching Biggest Common Factor Method

Factors of 75

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

1,3,5,15,25,75

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Greatest Common Factor

We found the factors 75,72,92 . The biggest common factor number is the GCF number.
So the greatest common factor 75,72,92 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 315/75, 537/72, 806/92

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 315/75, 537/72, 806/92?

Answer: LCM of Numerators as per given numbers 315/75, 537/72, 806/92 is

LCM of Numerators i.e. for 315,537,806 is 45446310

GCF of denominators i.e. for 75,72,92 is 1.

Thus, LCM of Fractions is 45446310.Finally, LCM of Fractions for 315/75, 537/72, 806/92 is 45446310.