Least Common Multiple of 219/84, 788/1625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 219/84, 788/1625 quickly i.e. 172572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 219/84, 788/1625 is 172572.

LCM(219/84, 788/1625) = 172572

LCM of 219/84, 788/1625

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 219/84,788/1625

Given numbers are 219/84,788/1625

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 219,788

Least Common Multiple of Numerators i.e. LCM of 219,788 is 172572.

GCF of Denominators means GCF of 84,1625 as per the given fractions.

GCF of 84,1625 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 219,788

LCM of Fractions 219/84,788/1625 is 172572

Given numbers has no common factors except 1. So, there LCM is their product i.e 172572

Least Common Multiple of 219,788 with GCF Formula

Least Common Multiple of 219,788 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 219,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,788) = 1

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

GCF(219,788) x common factors =1 x 1 = 1

LCM(219,788) = ( 219 × 788 ) / 1

LCM(219,788) = 172572 / 1

LCM(219,788) = 172572


Lets's calculate GCF of 84,1625

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 172572/1

Therefore the LCM of Fractions 219/84,788/1625 is 172572

Greatest Common Factor of 84,1625 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,1625 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 1625

List of positive integer factors of 1625 that divides 1625 without a remainder.

1,5,13,25,65,125,325,1625

Greatest Common Factor

We found the factors 84,1625 . The biggest common factor number is the GCF number.
So the greatest common factor 84,1625 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 219/84, 788/1625

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 219/84, 788/1625?

Answer: LCM of Numerators as per given numbers 219/84, 788/1625 is

LCM of Numerators i.e. for 219,788 is 172572

GCF of denominators i.e. for 84,1625 is 1.

Thus, LCM of Fractions is 172572.Finally, LCM of Fractions for 219/84, 788/1625 is 172572.