Least Common Multiple of 22/60, 84/38, 304/681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/60, 84/38, 304/681 quickly i.e. 70224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/60, 84/38, 304/681 is 70224.

LCM(22/60, 84/38, 304/681) = 70224

LCM of 22/60, 84/38, 304/681

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 22/60,84/38,304/681

Given numbers are 22/60,84/38,304/681

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 22,84,304

Least Common Multiple of Numerators i.e. LCM of 22,84,304 is 70224.

GCF of Denominators means GCF of 60,38,681 as per the given fractions.

GCF of 60,38,681 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,84,304

LCM of Fractions 22/60,84/38,304/681 is 70224

2 22, 84, 304
2 11, 42, 152
11, 21, 76

∴ So the LCM of the given numbers is 2 x 2 x 11 x 21 x 76 = 70224

Least Common Multiple of 22,84,304 with GCF Formula

Least Common Multiple of 22,84,304 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 22,84,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,84,304) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(22,84,304) x common factors =2 x 4 = 8

LCM(22,84,304) = ( 22 × 84 × 304 ) / 8

LCM(22,84,304) = 561792 / 8

LCM(22,84,304) = 70224


Lets's calculate GCF of 60,38,681

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70224/1

Therefore the LCM of Fractions 22/60,84/38,304/681 is 70224

Greatest Common Factor of 60,38,681 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,38,681 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 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Greatest Common Factor

We found the factors 60,38,681 . The biggest common factor number is the GCF number.
So the greatest common factor 60,38,681 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 22/60, 84/38, 304/681

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 22/60, 84/38, 304/681?

Answer: LCM of Numerators as per given numbers 22/60, 84/38, 304/681 is

LCM of Numerators i.e. for 22,84,304 is 70224

GCF of denominators i.e. for 60,38,681 is 1.

Thus, LCM of Fractions is 70224.Finally, LCM of Fractions for 22/60, 84/38, 304/681 is 70224.