Least Common Multiple of 58/342, 28/757, 708/890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/342, 28/757, 708/890 quickly i.e. 143724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/342, 28/757, 708/890 is 143724.

LCM(58/342, 28/757, 708/890) = 143724

LCM of 58/342, 28/757, 708/890

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 58/342,28/757,708/890

Given numbers are 58/342,28/757,708/890

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 58,28,708

Least Common Multiple of Numerators i.e. LCM of 58,28,708 is 143724.

GCF of Denominators means GCF of 342,757,890 as per the given fractions.

GCF of 342,757,890 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,28,708

LCM of Fractions 58/342,28/757,708/890 is 143724

2 58, 28, 708
2 29, 14, 354
29, 7, 177

∴ So the LCM of the given numbers is 2 x 2 x 29 x 7 x 177 = 143724

Least Common Multiple of 58,28,708 with GCF Formula

Least Common Multiple of 58,28,708 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 58,28,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,28,708) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(58,28,708) x common factors =2 x 4 = 8

LCM(58,28,708) = ( 58 × 28 × 708 ) / 8

LCM(58,28,708) = 1149792 / 8

LCM(58,28,708) = 143724


Lets's calculate GCF of 342,757,890

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 143724/1

Therefore the LCM of Fractions 58/342,28/757,708/890 is 143724

Greatest Common Factor of 342,757,890 By Matching Biggest Common Factor Method

Greatest Common Factor of 342,757,890 By Matching Biggest Common Factor Method

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 890

List of positive integer factors of 890 that divides 890 without a remainder.

1,2,5,10,89,178,445,890

Greatest Common Factor

We found the factors 342,757,890 . The biggest common factor number is the GCF number.
So the greatest common factor 342,757,890 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 58/342, 28/757, 708/890

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 58/342, 28/757, 708/890?

Answer: LCM of Numerators as per given numbers 58/342, 28/757, 708/890 is

LCM of Numerators i.e. for 58,28,708 is 143724

GCF of denominators i.e. for 342,757,890 is 1.

Thus, LCM of Fractions is 143724.Finally, LCM of Fractions for 58/342, 28/757, 708/890 is 143724.