Least Common Multiple of 25/530, 78/819, 693/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/530, 78/819, 693/546 quickly i.e. 450450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/530, 78/819, 693/546 is 450450.

LCM(25/530, 78/819, 693/546) = 450450

LCM of 25/530, 78/819, 693/546

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 25/530,78/819,693/546

Given numbers are 25/530,78/819,693/546

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 25,78,693

Least Common Multiple of Numerators i.e. LCM of 25,78,693 is 450450.

GCF of Denominators means GCF of 530,819,546 as per the given fractions.

GCF of 530,819,546 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,78,693

LCM of Fractions 25/530,78/819,693/546 is 450450

3 25, 78, 693
25, 26, 231

∴ So the LCM of the given numbers is 3 x 25 x 26 x 231 = 450450

Least Common Multiple of 25,78,693 with GCF Formula

Least Common Multiple of 25,78,693 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 25,78,693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,78,693) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(25,78,693) x common factors =1 x 3 = 3

LCM(25,78,693) = ( 25 × 78 × 693 ) / 3

LCM(25,78,693) = 1351350 / 3

LCM(25,78,693) = 450450


Lets's calculate GCF of 530,819,546

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 450450/1

Therefore the LCM of Fractions 25/530,78/819,693/546 is 450450

Greatest Common Factor of 530,819,546 By Matching Biggest Common Factor Method

Greatest Common Factor of 530,819,546 By Matching Biggest Common Factor Method

Factors of 530

List of positive integer factors of 530 that divides 530 without a remainder.

1,2,5,10,53,106,265,530

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Greatest Common Factor

We found the factors 530,819,546 . The biggest common factor number is the GCF number.
So the greatest common factor 530,819,546 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 25/530, 78/819, 693/546

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 25/530, 78/819, 693/546?

Answer: LCM of Numerators as per given numbers 25/530, 78/819, 693/546 is

LCM of Numerators i.e. for 25,78,693 is 450450

GCF of denominators i.e. for 530,819,546 is 1.

Thus, LCM of Fractions is 450450.Finally, LCM of Fractions for 25/530, 78/819, 693/546 is 450450.