Least Common Multiple of 25/21, 30/67, 711/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/21, 30/67, 711/367 quickly i.e. 35550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/21, 30/67, 711/367 is 35550.

LCM(25/21, 30/67, 711/367) = 35550

LCM of 25/21, 30/67, 711/367

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 25/21,30/67,711/367

Given numbers are 25/21,30/67,711/367

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 25,30,711

Least Common Multiple of Numerators i.e. LCM of 25,30,711 is 35550.

GCF of Denominators means GCF of 21,67,367 as per the given fractions.

GCF of 21,67,367 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,30,711

LCM of Fractions 25/21,30/67,711/367 is 35550

3 25, 30, 711
5 25, 10, 237
5, 2, 237

∴ So the LCM of the given numbers is 3 x 5 x 5 x 2 x 237 = 35550

Least Common Multiple of 25,30,711 with GCF Formula

Least Common Multiple of 25,30,711 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 25,30,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,30,711) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(25,30,711) x common factors =1 x 15 = 15

LCM(25,30,711) = ( 25 × 30 × 711 ) / 15

LCM(25,30,711) = 533250 / 15

LCM(25,30,711) = 35550


Lets's calculate GCF of 21,67,367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35550/1

Therefore the LCM of Fractions 25/21,30/67,711/367 is 35550

Greatest Common Factor of 21,67,367 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,67,367 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Greatest Common Factor

We found the factors 21,67,367 . The biggest common factor number is the GCF number.
So the greatest common factor 21,67,367 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 25/21, 30/67, 711/367

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 25/21, 30/67, 711/367?

Answer: LCM of Numerators as per given numbers 25/21, 30/67, 711/367 is

LCM of Numerators i.e. for 25,30,711 is 35550

GCF of denominators i.e. for 21,67,367 is 1.

Thus, LCM of Fractions is 35550.Finally, LCM of Fractions for 25/21, 30/67, 711/367 is 35550.