Least Common Multiple of 5137/33, 7755/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5137/33, 7755/429 quickly i.e. 109745 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5137/33, 7755/429 is 109745.

LCM(5137/33, 7755/429) = 109745

LCM of 5137/33, 7755/429

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 5137/33,7755/429

Given numbers are 5137/33,7755/429

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 5137,7755

Least Common Multiple of Numerators i.e. LCM of 5137,7755 is 3621585.

GCF of Denominators means GCF of 33,429 as per the given fractions.

GCF of 33,429 is 33 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5137,7755

LCM of Fractions 5137/33,7755/429 is 109745

11 5137, 7755
467, 705

∴ So the LCM of the given numbers is 11 x 467 x 705 = 3621585

Least Common Multiple of 5137,7755 with GCF Formula

Least Common Multiple of 5137,7755 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 5137,7755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5137,7755) = 11

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

GCF(5137,7755) x common factors =11 x 1 = 11

LCM(5137,7755) = ( 5137 × 7755 ) / 11

LCM(5137,7755) = 39837435 / 11

LCM(5137,7755) = 3621585


Lets's calculate GCF of 33,429

3 33, 429
11 11, 143
1, 13

∴ So the GCF of the given numbers is 3 x 11 = 33

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3621585/33

Therefore the LCM of Fractions 5137/33,7755/429 is 109745

Greatest Common Factor of 33,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,429 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 33,429 . The biggest common factor number is the GCF number.
So the greatest common factor 33,429 is 33.


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 5137/33, 7755/429

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 5137/33, 7755/429?

Answer: LCM of Numerators as per given numbers 5137/33, 7755/429 is

LCM of Numerators i.e. for 5137,7755 is 3621585

GCF of denominators i.e. for 33,429 is 33.

Thus, LCM of Fractions is 109745.Finally, LCM of Fractions for 5137/33, 7755/429 is 109745.