Least Common Multiple of 51/469, 9435/8141

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/469, 9435/8141 quickly i.e. 9435/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/469, 9435/8141 is 9435/7.

LCM(51/469, 9435/8141) = 9435/7

LCM of 51/469, 9435/8141

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 51/469,9435/8141

Given numbers are 51/469,9435/8141

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 51,9435

Least Common Multiple of Numerators i.e. LCM of 51,9435 is 9435.

GCF of Denominators means GCF of 469,8141 as per the given fractions.

GCF of 469,8141 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,9435

LCM of Fractions 51/469,9435/8141 is 9435/7

3 51, 9435
17 17, 3145
1, 185

∴ So the LCM of the given numbers is 3 x 17 x 1 x 185 = 9435

Least Common Multiple of 51,9435 with GCF Formula

Least Common Multiple of 51,9435 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 51,9435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,9435) = 51

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

GCF(51,9435) x common factors =51 x 1 = 51

LCM(51,9435) = ( 51 × 9435 ) / 51

LCM(51,9435) = 481185 / 51

LCM(51,9435) = 9435


Lets's calculate GCF of 469,8141

7 469, 8141
67, 1163

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9435/7

Therefore the LCM of Fractions 51/469,9435/8141 is 9435/7

Greatest Common Factor of 469,8141 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,8141 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 8141

List of positive integer factors of 8141 that divides 8141 without a remainder.

1,7,1163,8141

Greatest Common Factor

We found the factors 469,8141 . The biggest common factor number is the GCF number.
So the greatest common factor 469,8141 is 7.


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 51/469, 9435/8141

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 51/469, 9435/8141?

Answer: LCM of Numerators as per given numbers 51/469, 9435/8141 is

LCM of Numerators i.e. for 51,9435 is 9435

GCF of denominators i.e. for 469,8141 is 7.

Thus, LCM of Fractions is 9435/7.Finally, LCM of Fractions for 51/469, 9435/8141 is 9435/7.