Least Common Multiple of 135/99, 963/23, 602/77

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 135/99, 963/23, 602/77 quickly i.e. 8695890 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 135/99, 963/23, 602/77 is 8695890.

LCM(135/99, 963/23, 602/77) = 8695890

LCM of 135/99, 963/23, 602/77

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 135/99,963/23,602/77

Given numbers are 135/99,963/23,602/77

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 135,963,602

Least Common Multiple of Numerators i.e. LCM of 135,963,602 is 8695890.

GCF of Denominators means GCF of 99,23,77 as per the given fractions.

GCF of 99,23,77 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 135,963,602

LCM of Fractions 135/99,963/23,602/77 is 8695890

3 135, 963, 602
3 45, 321, 602
15, 107, 602

∴ So the LCM of the given numbers is 3 x 3 x 15 x 107 x 602 = 8695890

Least Common Multiple of 135,963,602 with GCF Formula

Least Common Multiple of 135,963,602 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 135,963,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,963,602) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(135,963,602) x common factors =1 x 9 = 9

LCM(135,963,602) = ( 135 × 963 × 602 ) / 9

LCM(135,963,602) = 78263010 / 9

LCM(135,963,602) = 8695890


Lets's calculate GCF of 99,23,77

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8695890/1

Therefore the LCM of Fractions 135/99,963/23,602/77 is 8695890

Greatest Common Factor of 99,23,77 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,23,77 By Matching Biggest Common Factor Method

Factors of 99

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

1,3,9,11,33,99

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Greatest Common Factor

We found the factors 99,23,77 . The biggest common factor number is the GCF number.
So the greatest common factor 99,23,77 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 135/99, 963/23, 602/77

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 135/99, 963/23, 602/77?

Answer: LCM of Numerators as per given numbers 135/99, 963/23, 602/77 is

LCM of Numerators i.e. for 135,963,602 is 8695890

GCF of denominators i.e. for 99,23,77 is 1.

Thus, LCM of Fractions is 8695890.Finally, LCM of Fractions for 135/99, 963/23, 602/77 is 8695890.