Least Common Multiple of 28/79, 73/88, 92/69, 46/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/79, 73/88, 92/69, 46/629 quickly i.e. 47012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/79, 73/88, 92/69, 46/629 is 47012.

LCM(28/79, 73/88, 92/69, 46/629) = 47012

LCM of 28/79, 73/88, 92/69, 46/629

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 28/79,73/88,92/69,46/629

Given numbers are 28/79,73/88,92/69,46/629

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 28,73,92,46

Least Common Multiple of Numerators i.e. LCM of 28,73,92,46 is 47012.

GCF of Denominators means GCF of 79,88,69,629 as per the given fractions.

GCF of 79,88,69,629 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,73,92,46

LCM of Fractions 28/79,73/88,92/69,46/629 is 47012

2 28, 73, 92, 46
2 14, 73, 46, 23
23 7, 73, 23, 23
7, 73, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 23 x 7 x 73 x 1 x 1 = 47012

Least Common Multiple of 28,73,92,46 with GCF Formula

Least Common Multiple of 28,73,92,46 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 28,73,92,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,73,92,46) = 1

common factors(in case of two or more numbers have common factors) = 184

GCF(28,73,92,46) x common factors =1 x 184 = 184

LCM(28,73,92,46) = ( 28 × 73 × 92 × 46 ) / 184

LCM(28,73,92,46) = 8650208 / 184

LCM(28,73,92,46) = 47012


Lets's calculate GCF of 79,88,69,629

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47012/1

Therefore the LCM of Fractions 28/79,73/88,92/69,46/629 is 47012

Greatest Common Factor of 79,88,69,629 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,88,69,629 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 69

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

1,3,23,69

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1,17,37,629

Greatest Common Factor

We found the factors 79,88,69,629 . The biggest common factor number is the GCF number.
So the greatest common factor 79,88,69,629 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 28/79, 73/88, 92/69, 46/629

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 28/79, 73/88, 92/69, 46/629?

Answer: LCM of Numerators as per given numbers 28/79, 73/88, 92/69, 46/629 is

LCM of Numerators i.e. for 28,73,92,46 is 47012

GCF of denominators i.e. for 79,88,69,629 is 1.

Thus, LCM of Fractions is 47012.Finally, LCM of Fractions for 28/79, 73/88, 92/69, 46/629 is 47012.