Least Common Multiple of 67/22, 45/21, 45/84, 51/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 67/22, 45/21, 45/84, 51/267 quickly i.e. 51255 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 67/22, 45/21, 45/84, 51/267 is 51255.

LCM(67/22, 45/21, 45/84, 51/267) = 51255

LCM of 67/22, 45/21, 45/84, 51/267

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 67/22,45/21,45/84,51/267

Given numbers are 67/22,45/21,45/84,51/267

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 67,45,45,51

Least Common Multiple of Numerators i.e. LCM of 67,45,45,51 is 51255.

GCF of Denominators means GCF of 22,21,84,267 as per the given fractions.

GCF of 22,21,84,267 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 67,45,45,51

LCM of Fractions 67/22,45/21,45/84,51/267 is 51255

3 67, 45, 45, 51
3 67, 15, 15, 17
5 67, 5, 5, 17
67, 1, 1, 17

∴ So the LCM of the given numbers is 3 x 3 x 5 x 67 x 1 x 1 x 17 = 51255

Least Common Multiple of 67,45,45,51 with GCF Formula

Least Common Multiple of 67,45,45,51 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 67,45,45,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,45,45,51) = 1

common factors(in case of two or more numbers have common factors) = 135

GCF(67,45,45,51) x common factors =1 x 135 = 135

LCM(67,45,45,51) = ( 67 × 45 × 45 × 51 ) / 135

LCM(67,45,45,51) = 6919425 / 135

LCM(67,45,45,51) = 51255


Lets's calculate GCF of 22,21,84,267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51255/1

Therefore the LCM of Fractions 67/22,45/21,45/84,51/267 is 51255

Greatest Common Factor of 22,21,84,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,21,84,267 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 21

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

1,3,7,21

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 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Greatest Common Factor

We found the factors 22,21,84,267 . The biggest common factor number is the GCF number.
So the greatest common factor 22,21,84,267 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 67/22, 45/21, 45/84, 51/267

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 67/22, 45/21, 45/84, 51/267?

Answer: LCM of Numerators as per given numbers 67/22, 45/21, 45/84, 51/267 is

LCM of Numerators i.e. for 67,45,45,51 is 51255

GCF of denominators i.e. for 22,21,84,267 is 1.

Thus, LCM of Fractions is 51255.Finally, LCM of Fractions for 67/22, 45/21, 45/84, 51/267 is 51255.