Least Common Multiple of 514/633, 602/369, 752/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 514/633, 602/369, 752/780 quickly i.e. 58172464/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 514/633, 602/369, 752/780 is 58172464/3.

LCM(514/633, 602/369, 752/780) = 58172464/3

LCM of 514/633, 602/369, 752/780

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 514/633,602/369,752/780

Given numbers are 514/633,602/369,752/780

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 514,602,752

Least Common Multiple of Numerators i.e. LCM of 514,602,752 is 58172464.

GCF of Denominators means GCF of 633,369,780 as per the given fractions.

GCF of 633,369,780 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 514,602,752

LCM of Fractions 514/633,602/369,752/780 is 58172464/3

2 514, 602, 752
257, 301, 376

∴ So the LCM of the given numbers is 2 x 257 x 301 x 376 = 58172464

Least Common Multiple of 514,602,752 with GCF Formula

Least Common Multiple of 514,602,752 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 514,602,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,602,752) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(514,602,752) x common factors =2 x 2 = 4

LCM(514,602,752) = ( 514 × 602 × 752 ) / 4

LCM(514,602,752) = 232689856 / 4

LCM(514,602,752) = 58172464


Lets's calculate GCF of 633,369,780

3 633, 369, 780
211, 123, 260

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58172464/3

Therefore the LCM of Fractions 514/633,602/369,752/780 is 58172464/3

Greatest Common Factor of 633,369,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 633,369,780 By Matching Biggest Common Factor Method

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Factors of 369

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

1,3,9,41,123,369

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 633,369,780 . The biggest common factor number is the GCF number.
So the greatest common factor 633,369,780 is 3.


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 514/633, 602/369, 752/780

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 514/633, 602/369, 752/780?

Answer: LCM of Numerators as per given numbers 514/633, 602/369, 752/780 is

LCM of Numerators i.e. for 514,602,752 is 58172464

GCF of denominators i.e. for 633,369,780 is 3.

Thus, LCM of Fractions is 58172464/3.Finally, LCM of Fractions for 514/633, 602/369, 752/780 is 58172464/3.