Least Common Multiple of 59/145, 56/375, 830/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/145, 56/375, 830/313 quickly i.e. 1371160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/145, 56/375, 830/313 is 1371160.

LCM(59/145, 56/375, 830/313) = 1371160

LCM of 59/145, 56/375, 830/313

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 59/145,56/375,830/313

Given numbers are 59/145,56/375,830/313

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 59,56,830

Least Common Multiple of Numerators i.e. LCM of 59,56,830 is 1371160.

GCF of Denominators means GCF of 145,375,313 as per the given fractions.

GCF of 145,375,313 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,56,830

LCM of Fractions 59/145,56/375,830/313 is 1371160

2 59, 56, 830
59, 28, 415

∴ So the LCM of the given numbers is 2 x 59 x 28 x 415 = 1371160

Least Common Multiple of 59,56,830 with GCF Formula

Least Common Multiple of 59,56,830 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 59,56,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,56,830) = 1

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

GCF(59,56,830) x common factors =1 x 2 = 2

LCM(59,56,830) = ( 59 × 56 × 830 ) / 2

LCM(59,56,830) = 2742320 / 2

LCM(59,56,830) = 1371160


Lets's calculate GCF of 145,375,313

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1371160/1

Therefore the LCM of Fractions 59/145,56/375,830/313 is 1371160

Greatest Common Factor of 145,375,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 145,375,313 By Matching Biggest Common Factor Method

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 145,375,313 . The biggest common factor number is the GCF number.
So the greatest common factor 145,375,313 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 59/145, 56/375, 830/313

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 59/145, 56/375, 830/313?

Answer: LCM of Numerators as per given numbers 59/145, 56/375, 830/313 is

LCM of Numerators i.e. for 59,56,830 is 1371160

GCF of denominators i.e. for 145,375,313 is 1.

Thus, LCM of Fractions is 1371160.Finally, LCM of Fractions for 59/145, 56/375, 830/313 is 1371160.