Least Common Multiple of 14/459, 275/764, 137/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/459, 275/764, 137/676 quickly i.e. 527450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/459, 275/764, 137/676 is 527450.

LCM(14/459, 275/764, 137/676) = 527450

LCM of 14/459, 275/764, 137/676

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 14/459,275/764,137/676

Given numbers are 14/459,275/764,137/676

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 14,275,137

Least Common Multiple of Numerators i.e. LCM of 14,275,137 is 527450.

GCF of Denominators means GCF of 459,764,676 as per the given fractions.

GCF of 459,764,676 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,275,137

LCM of Fractions 14/459,275/764,137/676 is 527450

Given numbers has no common factors except 1. So, there LCM is their product i.e 527450

Least Common Multiple of 14,275,137 with GCF Formula

Least Common Multiple of 14,275,137 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 14,275,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,275,137) = 1

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

GCF(14,275,137) x common factors =1 x 1 = 1

LCM(14,275,137) = ( 14 × 275 × 137 ) / 1

LCM(14,275,137) = 527450 / 1

LCM(14,275,137) = 527450


Lets's calculate GCF of 459,764,676

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 527450/1

Therefore the LCM of Fractions 14/459,275/764,137/676 is 527450

Greatest Common Factor of 459,764,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 459,764,676 By Matching Biggest Common Factor Method

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 459,764,676 . The biggest common factor number is the GCF number.
So the greatest common factor 459,764,676 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 14/459, 275/764, 137/676

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 14/459, 275/764, 137/676?

Answer: LCM of Numerators as per given numbers 14/459, 275/764, 137/676 is

LCM of Numerators i.e. for 14,275,137 is 527450

GCF of denominators i.e. for 459,764,676 is 1.

Thus, LCM of Fractions is 527450.Finally, LCM of Fractions for 14/459, 275/764, 137/676 is 527450.