Least Common Multiple of 316/930, 238/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 316/930, 238/410 quickly i.e. 37604/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 316/930, 238/410 is 37604/10.

LCM(316/930, 238/410) = 37604/10

LCM of 316/930, 238/410

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 316/930,238/410

Given numbers are 316/930,238/410

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 316,238

Least Common Multiple of Numerators i.e. LCM of 316,238 is 37604.

GCF of Denominators means GCF of 930,410 as per the given fractions.

GCF of 930,410 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 316,238

LCM of Fractions 316/930,238/410 is 37604/10

2 316, 238
158, 119

∴ So the LCM of the given numbers is 2 x 158 x 119 = 37604

Least Common Multiple of 316,238 with GCF Formula

Least Common Multiple of 316,238 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 316,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(316,238) = 2

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

GCF(316,238) x common factors =2 x 1 = 2

LCM(316,238) = ( 316 × 238 ) / 2

LCM(316,238) = 75208 / 2

LCM(316,238) = 37604


Lets's calculate GCF of 930,410

2 930, 410
5 465, 205
93, 41

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37604/10

Therefore the LCM of Fractions 316/930,238/410 is 37604/10

Greatest Common Factor of 930,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 930,410 By Matching Biggest Common Factor Method

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 930,410 . The biggest common factor number is the GCF number.
So the greatest common factor 930,410 is 10.


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 316/930, 238/410

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 316/930, 238/410?

Answer: LCM of Numerators as per given numbers 316/930, 238/410 is

LCM of Numerators i.e. for 316,238 is 37604

GCF of denominators i.e. for 930,410 is 10.

Thus, LCM of Fractions is 37604/10.Finally, LCM of Fractions for 316/930, 238/410 is 37604/10.