Least Common Multiple of 5157/484, 9429/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5157/484, 9429/385 quickly i.e. 16208451/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5157/484, 9429/385 is 16208451/11.

LCM(5157/484, 9429/385) = 16208451/11

LCM of 5157/484, 9429/385

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 5157/484,9429/385

Given numbers are 5157/484,9429/385

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 5157,9429

Least Common Multiple of Numerators i.e. LCM of 5157,9429 is 16208451.

GCF of Denominators means GCF of 484,385 as per the given fractions.

GCF of 484,385 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5157,9429

LCM of Fractions 5157/484,9429/385 is 16208451/11

3 5157, 9429
1719, 3143

∴ So the LCM of the given numbers is 3 x 1719 x 3143 = 16208451

Least Common Multiple of 5157,9429 with GCF Formula

Least Common Multiple of 5157,9429 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 5157,9429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5157,9429) = 3

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

GCF(5157,9429) x common factors =3 x 1 = 3

LCM(5157,9429) = ( 5157 × 9429 ) / 3

LCM(5157,9429) = 48625353 / 3

LCM(5157,9429) = 16208451


Lets's calculate GCF of 484,385

11 484, 385
44, 35

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16208451/11

Therefore the LCM of Fractions 5157/484,9429/385 is 16208451/11

Greatest Common Factor of 484,385 By Matching Biggest Common Factor Method

Greatest Common Factor of 484,385 By Matching Biggest Common Factor Method

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Greatest Common Factor

We found the factors 484,385 . The biggest common factor number is the GCF number.
So the greatest common factor 484,385 is 11.


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 5157/484, 9429/385

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 5157/484, 9429/385?

Answer: LCM of Numerators as per given numbers 5157/484, 9429/385 is

LCM of Numerators i.e. for 5157,9429 is 16208451

GCF of denominators i.e. for 484,385 is 11.

Thus, LCM of Fractions is 16208451/11.Finally, LCM of Fractions for 5157/484, 9429/385 is 16208451/11.