Least Common Multiple of 22/614, 60/368, 354/956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/614, 60/368, 354/956 quickly i.e. 19470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/614, 60/368, 354/956 is 19470.

LCM(22/614, 60/368, 354/956) = 19470

LCM of 22/614, 60/368, 354/956

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 22/614,60/368,354/956

Given numbers are 22/614,60/368,354/956

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 22,60,354

Least Common Multiple of Numerators i.e. LCM of 22,60,354 is 38940.

GCF of Denominators means GCF of 614,368,956 as per the given fractions.

GCF of 614,368,956 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,60,354

LCM of Fractions 22/614,60/368,354/956 is 19470

2 22, 60, 354
3 11, 30, 177
11, 10, 59

∴ So the LCM of the given numbers is 2 x 3 x 11 x 10 x 59 = 38940

Least Common Multiple of 22,60,354 with GCF Formula

Least Common Multiple of 22,60,354 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 22,60,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,60,354) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(22,60,354) x common factors =2 x 6 = 12

LCM(22,60,354) = ( 22 × 60 × 354 ) / 12

LCM(22,60,354) = 467280 / 12

LCM(22,60,354) = 38940


Lets's calculate GCF of 614,368,956

2 614, 368, 956
307, 184, 478

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38940/2

Therefore the LCM of Fractions 22/614,60/368,354/956 is 19470

Greatest Common Factor of 614,368,956 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,368,956 By Matching Biggest Common Factor Method

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 956

List of positive integer factors of 956 that divides 956 without a remainder.

1,2,4,239,478,956

Greatest Common Factor

We found the factors 614,368,956 . The biggest common factor number is the GCF number.
So the greatest common factor 614,368,956 is 2.


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 22/614, 60/368, 354/956

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 22/614, 60/368, 354/956?

Answer: LCM of Numerators as per given numbers 22/614, 60/368, 354/956 is

LCM of Numerators i.e. for 22,60,354 is 38940

GCF of denominators i.e. for 614,368,956 is 2.

Thus, LCM of Fractions is 19470.Finally, LCM of Fractions for 22/614, 60/368, 354/956 is 19470.