Least Common Multiple of 137/55, 900/95, 623/45

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 137/55, 900/95, 623/45 quickly i.e. 15363180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 137/55, 900/95, 623/45 is 15363180.

LCM(137/55, 900/95, 623/45) = 15363180

LCM of 137/55, 900/95, 623/45

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 137/55,900/95,623/45

Given numbers are 137/55,900/95,623/45

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 137,900,623

Least Common Multiple of Numerators i.e. LCM of 137,900,623 is 76815900.

GCF of Denominators means GCF of 55,95,45 as per the given fractions.

GCF of 55,95,45 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 137,900,623

LCM of Fractions 137/55,900/95,623/45 is 15363180

Given numbers has no common factors except 1. So, there LCM is their product i.e 76815900

Least Common Multiple of 137,900,623 with GCF Formula

Least Common Multiple of 137,900,623 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 137,900,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,900,623) = 1

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

GCF(137,900,623) x common factors =1 x 1 = 1

LCM(137,900,623) = ( 137 × 900 × 623 ) / 1

LCM(137,900,623) = 76815900 / 1

LCM(137,900,623) = 76815900


Lets's calculate GCF of 55,95,45

5 55, 95, 45
11, 19, 9

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76815900/5

Therefore the LCM of Fractions 137/55,900/95,623/45 is 15363180

Greatest Common Factor of 55,95,45 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,95,45 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Greatest Common Factor

We found the factors 55,95,45 . The biggest common factor number is the GCF number.
So the greatest common factor 55,95,45 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 137/55, 900/95, 623/45

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 137/55, 900/95, 623/45?

Answer: LCM of Numerators as per given numbers 137/55, 900/95, 623/45 is

LCM of Numerators i.e. for 137,900,623 is 76815900

GCF of denominators i.e. for 55,95,45 is 5.

Thus, LCM of Fractions is 15363180.Finally, LCM of Fractions for 137/55, 900/95, 623/45 is 15363180.