Least Common Multiple of 387/554, 602/468, 780/721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 387/554, 602/468, 780/721 quickly i.e. 704340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 387/554, 602/468, 780/721 is 704340.

LCM(387/554, 602/468, 780/721) = 704340

LCM of 387/554, 602/468, 780/721

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 387/554,602/468,780/721

Given numbers are 387/554,602/468,780/721

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 387,602,780

Least Common Multiple of Numerators i.e. LCM of 387,602,780 is 704340.

GCF of Denominators means GCF of 554,468,721 as per the given fractions.

GCF of 554,468,721 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 387,602,780

LCM of Fractions 387/554,602/468,780/721 is 704340

2 387, 602, 780
3 387, 301, 390
43 129, 301, 130
3, 7, 130

∴ So the LCM of the given numbers is 2 x 3 x 43 x 3 x 7 x 130 = 704340

Least Common Multiple of 387,602,780 with GCF Formula

Least Common Multiple of 387,602,780 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 387,602,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,602,780) = 1

common factors(in case of two or more numbers have common factors) = 258

GCF(387,602,780) x common factors =1 x 258 = 258

LCM(387,602,780) = ( 387 × 602 × 780 ) / 258

LCM(387,602,780) = 181719720 / 258

LCM(387,602,780) = 704340


Lets's calculate GCF of 554,468,721

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 704340/1

Therefore the LCM of Fractions 387/554,602/468,780/721 is 704340

Greatest Common Factor of 554,468,721 By Matching Biggest Common Factor Method

Greatest Common Factor of 554,468,721 By Matching Biggest Common Factor Method

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Greatest Common Factor

We found the factors 554,468,721 . The biggest common factor number is the GCF number.
So the greatest common factor 554,468,721 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 387/554, 602/468, 780/721

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 387/554, 602/468, 780/721?

Answer: LCM of Numerators as per given numbers 387/554, 602/468, 780/721 is

LCM of Numerators i.e. for 387,602,780 is 704340

GCF of denominators i.e. for 554,468,721 is 1.

Thus, LCM of Fractions is 704340.Finally, LCM of Fractions for 387/554, 602/468, 780/721 is 704340.