Least Common Multiple of 138/51, 146/99, 535/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 138/51, 146/99, 535/135 quickly i.e. 1796530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 138/51, 146/99, 535/135 is 1796530.

LCM(138/51, 146/99, 535/135) = 1796530

LCM of 138/51, 146/99, 535/135

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 138/51,146/99,535/135

Given numbers are 138/51,146/99,535/135

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 138,146,535

Least Common Multiple of Numerators i.e. LCM of 138,146,535 is 5389590.

GCF of Denominators means GCF of 51,99,135 as per the given fractions.

GCF of 51,99,135 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 138,146,535

LCM of Fractions 138/51,146/99,535/135 is 1796530

2 138, 146, 535
69, 73, 535

∴ So the LCM of the given numbers is 2 x 69 x 73 x 535 = 5389590

Least Common Multiple of 138,146,535 with GCF Formula

Least Common Multiple of 138,146,535 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 138,146,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,146,535) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(138,146,535) x common factors =1 x 2 = 2

LCM(138,146,535) = ( 138 × 146 × 535 ) / 2

LCM(138,146,535) = 10779180 / 2

LCM(138,146,535) = 5389590


Lets's calculate GCF of 51,99,135

3 51, 99, 135
17, 33, 45

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5389590/3

Therefore the LCM of Fractions 138/51,146/99,535/135 is 1796530

Greatest Common Factor of 51,99,135 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,99,135 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Greatest Common Factor

We found the factors 51,99,135 . The biggest common factor number is the GCF number.
So the greatest common factor 51,99,135 is 3.


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 138/51, 146/99, 535/135

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 138/51, 146/99, 535/135?

Answer: LCM of Numerators as per given numbers 138/51, 146/99, 535/135 is

LCM of Numerators i.e. for 138,146,535 is 5389590

GCF of denominators i.e. for 51,99,135 is 3.

Thus, LCM of Fractions is 1796530.Finally, LCM of Fractions for 138/51, 146/99, 535/135 is 1796530.