Least Common Multiple of 29/68, 74/90, 462/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/68, 74/90, 462/696 quickly i.e. 247863 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/68, 74/90, 462/696 is 247863.

LCM(29/68, 74/90, 462/696) = 247863

LCM of 29/68, 74/90, 462/696

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 29/68,74/90,462/696

Given numbers are 29/68,74/90,462/696

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 29,74,462

Least Common Multiple of Numerators i.e. LCM of 29,74,462 is 495726.

GCF of Denominators means GCF of 68,90,696 as per the given fractions.

GCF of 68,90,696 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,74,462

LCM of Fractions 29/68,74/90,462/696 is 247863

2 29, 74, 462
29, 37, 231

∴ So the LCM of the given numbers is 2 x 29 x 37 x 231 = 495726

Least Common Multiple of 29,74,462 with GCF Formula

Least Common Multiple of 29,74,462 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 29,74,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,74,462) = 1

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

GCF(29,74,462) x common factors =1 x 2 = 2

LCM(29,74,462) = ( 29 × 74 × 462 ) / 2

LCM(29,74,462) = 991452 / 2

LCM(29,74,462) = 495726


Lets's calculate GCF of 68,90,696

2 68, 90, 696
34, 45, 348

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 495726/2

Therefore the LCM of Fractions 29/68,74/90,462/696 is 247863

Greatest Common Factor of 68,90,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,90,696 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 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 68,90,696 . The biggest common factor number is the GCF number.
So the greatest common factor 68,90,696 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 29/68, 74/90, 462/696

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 29/68, 74/90, 462/696?

Answer: LCM of Numerators as per given numbers 29/68, 74/90, 462/696 is

LCM of Numerators i.e. for 29,74,462 is 495726

GCF of denominators i.e. for 68,90,696 is 2.

Thus, LCM of Fractions is 247863.Finally, LCM of Fractions for 29/68, 74/90, 462/696 is 247863.