Least Common Multiple of 28/370, 3590/7318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 28/370, 3590/7318 quickly i.e. 25130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/370, 3590/7318 is 25130.

LCM(28/370, 3590/7318) = 25130

LCM of 28/370, 3590/7318

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 28/370,3590/7318

Given numbers are 28/370,3590/7318

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 28,3590

Least Common Multiple of Numerators i.e. LCM of 28,3590 is 50260.

GCF of Denominators means GCF of 370,7318 as per the given fractions.

GCF of 370,7318 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,3590

LCM of Fractions 28/370,3590/7318 is 25130

2 28, 3590
14, 1795

∴ So the LCM of the given numbers is 2 x 14 x 1795 = 50260

Least Common Multiple of 28,3590 with GCF Formula

Least Common Multiple of 28,3590 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 28,3590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,3590) = 2

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

GCF(28,3590) x common factors =2 x 1 = 2

LCM(28,3590) = ( 28 × 3590 ) / 2

LCM(28,3590) = 100520 / 2

LCM(28,3590) = 50260


Lets's calculate GCF of 370,7318

2 370, 7318
185, 3659

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50260/2

Therefore the LCM of Fractions 28/370,3590/7318 is 25130

Greatest Common Factor of 370,7318 By Matching Biggest Common Factor Method

Greatest Common Factor of 370,7318 By Matching Biggest Common Factor Method

Factors of 370

List of positive integer factors of 370 that divides 370 without a remainder.

1,2,5,10,37,74,185,370

Factors of 7318

List of positive integer factors of 7318 that divides 7318 without a remainder.

1,2,3659,7318

Greatest Common Factor

We found the factors 370,7318 . The biggest common factor number is the GCF number.
So the greatest common factor 370,7318 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 28/370, 3590/7318

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 28/370, 3590/7318?

Answer: LCM of Numerators as per given numbers 28/370, 3590/7318 is

LCM of Numerators i.e. for 28,3590 is 50260

GCF of denominators i.e. for 370,7318 is 2.

Thus, LCM of Fractions is 25130.Finally, LCM of Fractions for 28/370, 3590/7318 is 25130.