Least Common Multiple of 501/514, 149/954, 643/893

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 501/514, 149/954, 643/893 quickly i.e. 47999307 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 501/514, 149/954, 643/893 is 47999307.

LCM(501/514, 149/954, 643/893) = 47999307

LCM of 501/514, 149/954, 643/893

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 501/514,149/954,643/893

Given numbers are 501/514,149/954,643/893

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 501,149,643

Least Common Multiple of Numerators i.e. LCM of 501,149,643 is 47999307.

GCF of Denominators means GCF of 514,954,893 as per the given fractions.

GCF of 514,954,893 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 501,149,643

LCM of Fractions 501/514,149/954,643/893 is 47999307

Given numbers has no common factors except 1. So, there LCM is their product i.e 47999307

Least Common Multiple of 501,149,643 with GCF Formula

Least Common Multiple of 501,149,643 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 501,149,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,149,643) = 1

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

GCF(501,149,643) x common factors =1 x 1 = 1

LCM(501,149,643) = ( 501 × 149 × 643 ) / 1

LCM(501,149,643) = 47999307 / 1

LCM(501,149,643) = 47999307


Lets's calculate GCF of 514,954,893

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47999307/1

Therefore the LCM of Fractions 501/514,149/954,643/893 is 47999307

Greatest Common Factor of 514,954,893 By Matching Biggest Common Factor Method

Greatest Common Factor of 514,954,893 By Matching Biggest Common Factor Method

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Greatest Common Factor

We found the factors 514,954,893 . The biggest common factor number is the GCF number.
So the greatest common factor 514,954,893 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 501/514, 149/954, 643/893

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 501/514, 149/954, 643/893?

Answer: LCM of Numerators as per given numbers 501/514, 149/954, 643/893 is

LCM of Numerators i.e. for 501,149,643 is 47999307

GCF of denominators i.e. for 514,954,893 is 1.

Thus, LCM of Fractions is 47999307.Finally, LCM of Fractions for 501/514, 149/954, 643/893 is 47999307.