Least Common Multiple of 514/369, 9068/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 514/369, 9068/766 quickly i.e. 2330476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 514/369, 9068/766 is 2330476.

LCM(514/369, 9068/766) = 2330476

LCM of 514/369, 9068/766

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 514/369,9068/766

Given numbers are 514/369,9068/766

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 514,9068

Least Common Multiple of Numerators i.e. LCM of 514,9068 is 2330476.

GCF of Denominators means GCF of 369,766 as per the given fractions.

GCF of 369,766 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 514,9068

LCM of Fractions 514/369,9068/766 is 2330476

2 514, 9068
257, 4534

∴ So the LCM of the given numbers is 2 x 257 x 4534 = 2330476

Least Common Multiple of 514,9068 with GCF Formula

Least Common Multiple of 514,9068 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 514,9068 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,9068) = 2

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

GCF(514,9068) x common factors =2 x 1 = 2

LCM(514,9068) = ( 514 × 9068 ) / 2

LCM(514,9068) = 4660952 / 2

LCM(514,9068) = 2330476


Lets's calculate GCF of 369,766

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2330476/1

Therefore the LCM of Fractions 514/369,9068/766 is 2330476

Greatest Common Factor of 369,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,766 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 369,766 . The biggest common factor number is the GCF number.
So the greatest common factor 369,766 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 514/369, 9068/766

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 514/369, 9068/766?

Answer: LCM of Numerators as per given numbers 514/369, 9068/766 is

LCM of Numerators i.e. for 514,9068 is 2330476

GCF of denominators i.e. for 369,766 is 1.

Thus, LCM of Fractions is 2330476.Finally, LCM of Fractions for 514/369, 9068/766 is 2330476.