Least Common Multiple of 99/145, 269/523, 150/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 99/145, 269/523, 150/137 quickly i.e. 1331550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/145, 269/523, 150/137 is 1331550.

LCM(99/145, 269/523, 150/137) = 1331550

LCM of 99/145, 269/523, 150/137

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 99/145,269/523,150/137

Given numbers are 99/145,269/523,150/137

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 99,269,150

Least Common Multiple of Numerators i.e. LCM of 99,269,150 is 1331550.

GCF of Denominators means GCF of 145,523,137 as per the given fractions.

GCF of 145,523,137 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,269,150

LCM of Fractions 99/145,269/523,150/137 is 1331550

3 99, 269, 150
33, 269, 50

∴ So the LCM of the given numbers is 3 x 33 x 269 x 50 = 1331550

Least Common Multiple of 99,269,150 with GCF Formula

Least Common Multiple of 99,269,150 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 99,269,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,269,150) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(99,269,150) x common factors =1 x 3 = 3

LCM(99,269,150) = ( 99 × 269 × 150 ) / 3

LCM(99,269,150) = 3994650 / 3

LCM(99,269,150) = 1331550


Lets's calculate GCF of 145,523,137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1331550/1

Therefore the LCM of Fractions 99/145,269/523,150/137 is 1331550

Greatest Common Factor of 145,523,137 By Matching Biggest Common Factor Method

Greatest Common Factor of 145,523,137 By Matching Biggest Common Factor Method

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Greatest Common Factor

We found the factors 145,523,137 . The biggest common factor number is the GCF number.
So the greatest common factor 145,523,137 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 99/145, 269/523, 150/137

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 99/145, 269/523, 150/137?

Answer: LCM of Numerators as per given numbers 99/145, 269/523, 150/137 is

LCM of Numerators i.e. for 99,269,150 is 1331550

GCF of denominators i.e. for 145,523,137 is 1.

Thus, LCM of Fractions is 1331550.Finally, LCM of Fractions for 99/145, 269/523, 150/137 is 1331550.