Least Common Multiple of 370/58, 828/1361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 370/58, 828/1361 quickly i.e. 153180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 370/58, 828/1361 is 153180.

LCM(370/58, 828/1361) = 153180

LCM of 370/58, 828/1361

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 370/58,828/1361

Given numbers are 370/58,828/1361

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 370,828

Least Common Multiple of Numerators i.e. LCM of 370,828 is 153180.

GCF of Denominators means GCF of 58,1361 as per the given fractions.

GCF of 58,1361 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 370,828

LCM of Fractions 370/58,828/1361 is 153180

2 370, 828
185, 414

∴ So the LCM of the given numbers is 2 x 185 x 414 = 153180

Least Common Multiple of 370,828 with GCF Formula

Least Common Multiple of 370,828 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 370,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(370,828) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(370,828) x common factors =2 x 1 = 2

LCM(370,828) = ( 370 × 828 ) / 2

LCM(370,828) = 306360 / 2

LCM(370,828) = 153180


Lets's calculate GCF of 58,1361

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153180/1

Therefore the LCM of Fractions 370/58,828/1361 is 153180

Greatest Common Factor of 58,1361 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,1361 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 1361

List of positive integer factors of 1361 that divides 1361 without a remainder.

1,1361

Greatest Common Factor

We found the factors 58,1361 . The biggest common factor number is the GCF number.
So the greatest common factor 58,1361 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 370/58, 828/1361

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 370/58, 828/1361?

Answer: LCM of Numerators as per given numbers 370/58, 828/1361 is

LCM of Numerators i.e. for 370,828 is 153180

GCF of denominators i.e. for 58,1361 is 1.

Thus, LCM of Fractions is 153180.Finally, LCM of Fractions for 370/58, 828/1361 is 153180.