Least Common Multiple of 22/68, 706/34, 507/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/68, 706/34, 507/788 quickly i.e. 1968681 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/68, 706/34, 507/788 is 1968681.

LCM(22/68, 706/34, 507/788) = 1968681

LCM of 22/68, 706/34, 507/788

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 22/68,706/34,507/788

Given numbers are 22/68,706/34,507/788

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 22,706,507

Least Common Multiple of Numerators i.e. LCM of 22,706,507 is 3937362.

GCF of Denominators means GCF of 68,34,788 as per the given fractions.

GCF of 68,34,788 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,706,507

LCM of Fractions 22/68,706/34,507/788 is 1968681

2 22, 706, 507
11, 353, 507

∴ So the LCM of the given numbers is 2 x 11 x 353 x 507 = 3937362

Least Common Multiple of 22,706,507 with GCF Formula

Least Common Multiple of 22,706,507 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 22,706,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,706,507) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(22,706,507) x common factors =1 x 2 = 2

LCM(22,706,507) = ( 22 × 706 × 507 ) / 2

LCM(22,706,507) = 7874724 / 2

LCM(22,706,507) = 3937362


Lets's calculate GCF of 68,34,788

2 68, 34, 788
34, 17, 394

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3937362/2

Therefore the LCM of Fractions 22/68,706/34,507/788 is 1968681

Greatest Common Factor of 68,34,788 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,34,788 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Greatest Common Factor

We found the factors 68,34,788 . The biggest common factor number is the GCF number.
So the greatest common factor 68,34,788 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 22/68, 706/34, 507/788

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 22/68, 706/34, 507/788?

Answer: LCM of Numerators as per given numbers 22/68, 706/34, 507/788 is

LCM of Numerators i.e. for 22,706,507 is 3937362

GCF of denominators i.e. for 68,34,788 is 2.

Thus, LCM of Fractions is 1968681.Finally, LCM of Fractions for 22/68, 706/34, 507/788 is 1968681.