Least Common Multiple of 67/60, 400/21, 375/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/60, 400/21, 375/222 quickly i.e. 134000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/60, 400/21, 375/222 is 134000.

LCM(67/60, 400/21, 375/222) = 134000

LCM of 67/60, 400/21, 375/222

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 67/60,400/21,375/222

Given numbers are 67/60,400/21,375/222

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 67,400,375

Least Common Multiple of Numerators i.e. LCM of 67,400,375 is 402000.

GCF of Denominators means GCF of 60,21,222 as per the given fractions.

GCF of 60,21,222 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,400,375

LCM of Fractions 67/60,400/21,375/222 is 134000

5 67, 400, 375
5 67, 80, 75
67, 16, 15

∴ So the LCM of the given numbers is 5 x 5 x 67 x 16 x 15 = 402000

Least Common Multiple of 67,400,375 with GCF Formula

Least Common Multiple of 67,400,375 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 67,400,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,400,375) = 1

common factors(in case of two or more numbers have common factors) = 25

GCF(67,400,375) x common factors =1 x 25 = 25

LCM(67,400,375) = ( 67 × 400 × 375 ) / 25

LCM(67,400,375) = 10050000 / 25

LCM(67,400,375) = 402000


Lets's calculate GCF of 60,21,222

3 60, 21, 222
20, 7, 74

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 402000/3

Therefore the LCM of Fractions 67/60,400/21,375/222 is 134000

Greatest Common Factor of 60,21,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,21,222 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 21

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

1,3,7,21

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 60,21,222 . The biggest common factor number is the GCF number.
So the greatest common factor 60,21,222 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 67/60, 400/21, 375/222

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 67/60, 400/21, 375/222?

Answer: LCM of Numerators as per given numbers 67/60, 400/21, 375/222 is

LCM of Numerators i.e. for 67,400,375 is 402000

GCF of denominators i.e. for 60,21,222 is 3.

Thus, LCM of Fractions is 134000.Finally, LCM of Fractions for 67/60, 400/21, 375/222 is 134000.