Least Common Multiple of 616/14, 222/69, 594/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 616/14, 222/69, 594/942 quickly i.e. 615384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 616/14, 222/69, 594/942 is 615384.

LCM(616/14, 222/69, 594/942) = 615384

LCM of 616/14, 222/69, 594/942

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 616/14,222/69,594/942

Given numbers are 616/14,222/69,594/942

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 616,222,594

Least Common Multiple of Numerators i.e. LCM of 616,222,594 is 615384.

GCF of Denominators means GCF of 14,69,942 as per the given fractions.

GCF of 14,69,942 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 616,222,594

LCM of Fractions 616/14,222/69,594/942 is 615384

2 616, 222, 594
3 308, 111, 297
11 308, 37, 99
28, 37, 9

∴ So the LCM of the given numbers is 2 x 3 x 11 x 28 x 37 x 9 = 615384

Least Common Multiple of 616,222,594 with GCF Formula

Least Common Multiple of 616,222,594 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 616,222,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,222,594) = 2

common factors(in case of two or more numbers have common factors) = 66

GCF(616,222,594) x common factors =2 x 66 = 132

LCM(616,222,594) = ( 616 × 222 × 594 ) / 132

LCM(616,222,594) = 81230688 / 132

LCM(616,222,594) = 615384


Lets's calculate GCF of 14,69,942

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 615384/1

Therefore the LCM of Fractions 616/14,222/69,594/942 is 615384

Greatest Common Factor of 14,69,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,69,942 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 14,69,942 . The biggest common factor number is the GCF number.
So the greatest common factor 14,69,942 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 616/14, 222/69, 594/942

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 616/14, 222/69, 594/942?

Answer: LCM of Numerators as per given numbers 616/14, 222/69, 594/942 is

LCM of Numerators i.e. for 616,222,594 is 615384

GCF of denominators i.e. for 14,69,942 is 1.

Thus, LCM of Fractions is 615384.Finally, LCM of Fractions for 616/14, 222/69, 594/942 is 615384.