Least Common Multiple of 51/271, 415/135, 914/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/271, 415/135, 914/646 quickly i.e. 19344810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/271, 415/135, 914/646 is 19344810.

LCM(51/271, 415/135, 914/646) = 19344810

LCM of 51/271, 415/135, 914/646

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 51/271,415/135,914/646

Given numbers are 51/271,415/135,914/646

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 51,415,914

Least Common Multiple of Numerators i.e. LCM of 51,415,914 is 19344810.

GCF of Denominators means GCF of 271,135,646 as per the given fractions.

GCF of 271,135,646 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,415,914

LCM of Fractions 51/271,415/135,914/646 is 19344810

Given numbers has no common factors except 1. So, there LCM is their product i.e 19344810

Least Common Multiple of 51,415,914 with GCF Formula

Least Common Multiple of 51,415,914 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 51,415,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,415,914) = 1

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

GCF(51,415,914) x common factors =1 x 1 = 1

LCM(51,415,914) = ( 51 × 415 × 914 ) / 1

LCM(51,415,914) = 19344810 / 1

LCM(51,415,914) = 19344810


Lets's calculate GCF of 271,135,646

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19344810/1

Therefore the LCM of Fractions 51/271,415/135,914/646 is 19344810

Greatest Common Factor of 271,135,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 271,135,646 By Matching Biggest Common Factor Method

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 135

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

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

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 271,135,646 . The biggest common factor number is the GCF number.
So the greatest common factor 271,135,646 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 51/271, 415/135, 914/646

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 51/271, 415/135, 914/646?

Answer: LCM of Numerators as per given numbers 51/271, 415/135, 914/646 is

LCM of Numerators i.e. for 51,415,914 is 19344810

GCF of denominators i.e. for 271,135,646 is 1.

Thus, LCM of Fractions is 19344810.Finally, LCM of Fractions for 51/271, 415/135, 914/646 is 19344810.