Least Common Multiple of 58/49, 70/75, 56/50, 30/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/49, 70/75, 56/50, 30/414 quickly i.e. 24360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/49, 70/75, 56/50, 30/414 is 24360.

LCM(58/49, 70/75, 56/50, 30/414) = 24360

LCM of 58/49, 70/75, 56/50, 30/414

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 58/49,70/75,56/50,30/414

Given numbers are 58/49,70/75,56/50,30/414

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 58,70,56,30

Least Common Multiple of Numerators i.e. LCM of 58,70,56,30 is 24360.

GCF of Denominators means GCF of 49,75,50,414 as per the given fractions.

GCF of 49,75,50,414 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,70,56,30

LCM of Fractions 58/49,70/75,56/50,30/414 is 24360

2 58, 70, 56, 30
5 29, 35, 28, 15
7 29, 7, 28, 3
29, 1, 4, 3

∴ So the LCM of the given numbers is 2 x 5 x 7 x 29 x 1 x 4 x 3 = 24360

Least Common Multiple of 58,70,56,30 with GCF Formula

Least Common Multiple of 58,70,56,30 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 58,70,56,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,70,56,30) = 2

common factors(in case of two or more numbers have common factors) = 140

GCF(58,70,56,30) x common factors =2 x 140 = 280

LCM(58,70,56,30) = ( 58 × 70 × 56 × 30 ) / 280

LCM(58,70,56,30) = 6820800 / 280

LCM(58,70,56,30) = 24360


Lets's calculate GCF of 49,75,50,414

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24360/1

Therefore the LCM of Fractions 58/49,70/75,56/50,30/414 is 24360

Greatest Common Factor of 49,75,50,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,75,50,414 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 49,75,50,414 . The biggest common factor number is the GCF number.
So the greatest common factor 49,75,50,414 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 58/49, 70/75, 56/50, 30/414

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 58/49, 70/75, 56/50, 30/414?

Answer: LCM of Numerators as per given numbers 58/49, 70/75, 56/50, 30/414 is

LCM of Numerators i.e. for 58,70,56,30 is 24360

GCF of denominators i.e. for 49,75,50,414 is 1.

Thus, LCM of Fractions is 24360.Finally, LCM of Fractions for 58/49, 70/75, 56/50, 30/414 is 24360.