Least Common Multiple of 29/54, 46/14, 35/42, 76/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/54, 46/14, 35/42, 76/216 quickly i.e. 887110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/54, 46/14, 35/42, 76/216 is 887110.

LCM(29/54, 46/14, 35/42, 76/216) = 887110

LCM of 29/54, 46/14, 35/42, 76/216

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 29/54,46/14,35/42,76/216

Given numbers are 29/54,46/14,35/42,76/216

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 29,46,35,76

Least Common Multiple of Numerators i.e. LCM of 29,46,35,76 is 1774220.

GCF of Denominators means GCF of 54,14,42,216 as per the given fractions.

GCF of 54,14,42,216 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,46,35,76

LCM of Fractions 29/54,46/14,35/42,76/216 is 887110

2 29, 46, 35, 76
29, 23, 35, 38

∴ So the LCM of the given numbers is 2 x 29 x 23 x 35 x 38 = 1774220

Least Common Multiple of 29,46,35,76 with GCF Formula

Least Common Multiple of 29,46,35,76 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 29,46,35,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,46,35,76) = 1

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

GCF(29,46,35,76) x common factors =1 x 2 = 2

LCM(29,46,35,76) = ( 29 × 46 × 35 × 76 ) / 2

LCM(29,46,35,76) = 3548440 / 2

LCM(29,46,35,76) = 1774220


Lets's calculate GCF of 54,14,42,216

2 54, 14, 42, 216
27, 7, 21, 108

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1774220/2

Therefore the LCM of Fractions 29/54,46/14,35/42,76/216 is 887110

Greatest Common Factor of 54,14,42,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,14,42,216 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 14

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

1,2,7,14

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 54,14,42,216 . The biggest common factor number is the GCF number.
So the greatest common factor 54,14,42,216 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 29/54, 46/14, 35/42, 76/216

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 29/54, 46/14, 35/42, 76/216?

Answer: LCM of Numerators as per given numbers 29/54, 46/14, 35/42, 76/216 is

LCM of Numerators i.e. for 29,46,35,76 is 1774220

GCF of denominators i.e. for 54,14,42,216 is 2.

Thus, LCM of Fractions is 887110.Finally, LCM of Fractions for 29/54, 46/14, 35/42, 76/216 is 887110.