Least Common Multiple of 55/387, 23/834, 137/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/387, 23/834, 137/646 quickly i.e. 173305 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/387, 23/834, 137/646 is 173305.

LCM(55/387, 23/834, 137/646) = 173305

LCM of 55/387, 23/834, 137/646

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 55/387,23/834,137/646

Given numbers are 55/387,23/834,137/646

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 55,23,137

Least Common Multiple of Numerators i.e. LCM of 55,23,137 is 173305.

GCF of Denominators means GCF of 387,834,646 as per the given fractions.

GCF of 387,834,646 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,23,137

LCM of Fractions 55/387,23/834,137/646 is 173305

Given numbers has no common factors except 1. So, there LCM is their product i.e 173305

Least Common Multiple of 55,23,137 with GCF Formula

Least Common Multiple of 55,23,137 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 55,23,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,23,137) = 1

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

GCF(55,23,137) x common factors =1 x 1 = 1

LCM(55,23,137) = ( 55 × 23 × 137 ) / 1

LCM(55,23,137) = 173305 / 1

LCM(55,23,137) = 173305


Lets's calculate GCF of 387,834,646

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 173305/1

Therefore the LCM of Fractions 55/387,23/834,137/646 is 173305

Greatest Common Factor of 387,834,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,834,646 By Matching Biggest Common Factor Method

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 387,834,646 . The biggest common factor number is the GCF number.
So the greatest common factor 387,834,646 is 1.


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 55/387, 23/834, 137/646

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 55/387, 23/834, 137/646?

Answer: LCM of Numerators as per given numbers 55/387, 23/834, 137/646 is

LCM of Numerators i.e. for 55,23,137 is 173305

GCF of denominators i.e. for 387,834,646 is 1.

Thus, LCM of Fractions is 173305.Finally, LCM of Fractions for 55/387, 23/834, 137/646 is 173305.