Least Common Multiple of 43/48, 70/28, 43/51, 79/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/48, 70/28, 43/51, 79/562 quickly i.e. 237790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/48, 70/28, 43/51, 79/562 is 237790.

LCM(43/48, 70/28, 43/51, 79/562) = 237790

LCM of 43/48, 70/28, 43/51, 79/562

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 43/48,70/28,43/51,79/562

Given numbers are 43/48,70/28,43/51,79/562

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 43,70,43,79

Least Common Multiple of Numerators i.e. LCM of 43,70,43,79 is 237790.

GCF of Denominators means GCF of 48,28,51,562 as per the given fractions.

GCF of 48,28,51,562 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,70,43,79

LCM of Fractions 43/48,70/28,43/51,79/562 is 237790

43 43, 70, 43, 79
1, 70, 1, 79

∴ So the LCM of the given numbers is 43 x 1 x 70 x 1 x 79 = 237790

Least Common Multiple of 43,70,43,79 with GCF Formula

Least Common Multiple of 43,70,43,79 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 43,70,43,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,70,43,79) = 1

common factors(in case of two or more numbers have common factors) = 43

GCF(43,70,43,79) x common factors =1 x 43 = 43

LCM(43,70,43,79) = ( 43 × 70 × 43 × 79 ) / 43

LCM(43,70,43,79) = 10224970 / 43

LCM(43,70,43,79) = 237790


Lets's calculate GCF of 48,28,51,562

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 237790/1

Therefore the LCM of Fractions 43/48,70/28,43/51,79/562 is 237790

Greatest Common Factor of 48,28,51,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,28,51,562 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 48,28,51,562 . The biggest common factor number is the GCF number.
So the greatest common factor 48,28,51,562 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 43/48, 70/28, 43/51, 79/562

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 43/48, 70/28, 43/51, 79/562?

Answer: LCM of Numerators as per given numbers 43/48, 70/28, 43/51, 79/562 is

LCM of Numerators i.e. for 43,70,43,79 is 237790

GCF of denominators i.e. for 48,28,51,562 is 1.

Thus, LCM of Fractions is 237790.Finally, LCM of Fractions for 43/48, 70/28, 43/51, 79/562 is 237790.