Least Common Multiple of 9416/820, 1094/395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9416/820, 1094/395 quickly i.e. 5150552/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9416/820, 1094/395 is 5150552/5.

LCM(9416/820, 1094/395) = 5150552/5

LCM of 9416/820, 1094/395

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 9416/820,1094/395

Given numbers are 9416/820,1094/395

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 9416,1094

Least Common Multiple of Numerators i.e. LCM of 9416,1094 is 5150552.

GCF of Denominators means GCF of 820,395 as per the given fractions.

GCF of 820,395 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9416,1094

LCM of Fractions 9416/820,1094/395 is 5150552/5

2 9416, 1094
4708, 547

∴ So the LCM of the given numbers is 2 x 4708 x 547 = 5150552

Least Common Multiple of 9416,1094 with GCF Formula

Least Common Multiple of 9416,1094 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 9416,1094 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9416,1094) = 2

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

GCF(9416,1094) x common factors =2 x 1 = 2

LCM(9416,1094) = ( 9416 × 1094 ) / 2

LCM(9416,1094) = 10301104 / 2

LCM(9416,1094) = 5150552


Lets's calculate GCF of 820,395

5 820, 395
164, 79

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5150552/5

Therefore the LCM of Fractions 9416/820,1094/395 is 5150552/5

Greatest Common Factor of 820,395 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,395 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Greatest Common Factor

We found the factors 820,395 . The biggest common factor number is the GCF number.
So the greatest common factor 820,395 is 5.


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 9416/820, 1094/395

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 9416/820, 1094/395?

Answer: LCM of Numerators as per given numbers 9416/820, 1094/395 is

LCM of Numerators i.e. for 9416,1094 is 5150552

GCF of denominators i.e. for 820,395 is 5.

Thus, LCM of Fractions is 5150552/5.Finally, LCM of Fractions for 9416/820, 1094/395 is 5150552/5.