Least Common Multiple of 37/578, 70/868, 302/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/578, 70/868, 302/390 quickly i.e. 195545 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/578, 70/868, 302/390 is 195545.

LCM(37/578, 70/868, 302/390) = 195545

LCM of 37/578, 70/868, 302/390

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 37/578,70/868,302/390

Given numbers are 37/578,70/868,302/390

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 37,70,302

Least Common Multiple of Numerators i.e. LCM of 37,70,302 is 391090.

GCF of Denominators means GCF of 578,868,390 as per the given fractions.

GCF of 578,868,390 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,70,302

LCM of Fractions 37/578,70/868,302/390 is 195545

2 37, 70, 302
37, 35, 151

∴ So the LCM of the given numbers is 2 x 37 x 35 x 151 = 391090

Least Common Multiple of 37,70,302 with GCF Formula

Least Common Multiple of 37,70,302 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 37,70,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,70,302) = 1

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

GCF(37,70,302) x common factors =1 x 2 = 2

LCM(37,70,302) = ( 37 × 70 × 302 ) / 2

LCM(37,70,302) = 782180 / 2

LCM(37,70,302) = 391090


Lets's calculate GCF of 578,868,390

2 578, 868, 390
289, 434, 195

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 391090/2

Therefore the LCM of Fractions 37/578,70/868,302/390 is 195545

Greatest Common Factor of 578,868,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,868,390 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 578,868,390 . The biggest common factor number is the GCF number.
So the greatest common factor 578,868,390 is 2.


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 37/578, 70/868, 302/390

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 37/578, 70/868, 302/390?

Answer: LCM of Numerators as per given numbers 37/578, 70/868, 302/390 is

LCM of Numerators i.e. for 37,70,302 is 391090

GCF of denominators i.e. for 578,868,390 is 2.

Thus, LCM of Fractions is 195545.Finally, LCM of Fractions for 37/578, 70/868, 302/390 is 195545.