Least Common Multiple of 828/22, 377/9228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 828/22, 377/9228 quickly i.e. 156078 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 828/22, 377/9228 is 156078.

LCM(828/22, 377/9228) = 156078

LCM of 828/22, 377/9228

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 828/22,377/9228

Given numbers are 828/22,377/9228

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 828,377

Least Common Multiple of Numerators i.e. LCM of 828,377 is 312156.

GCF of Denominators means GCF of 22,9228 as per the given fractions.

GCF of 22,9228 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 828,377

LCM of Fractions 828/22,377/9228 is 156078

Given numbers has no common factors except 1. So, there LCM is their product i.e 312156

Least Common Multiple of 828,377 with GCF Formula

Least Common Multiple of 828,377 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 828,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,377) = 1

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

GCF(828,377) x common factors =1 x 1 = 1

LCM(828,377) = ( 828 × 377 ) / 1

LCM(828,377) = 312156 / 1

LCM(828,377) = 312156


Lets's calculate GCF of 22,9228

2 22, 9228
11, 4614

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 312156/2

Therefore the LCM of Fractions 828/22,377/9228 is 156078

Greatest Common Factor of 22,9228 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,9228 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 9228

List of positive integer factors of 9228 that divides 9228 without a remainder.

1,2,3,4,6,12,769,1538,2307,3076,4614,9228

Greatest Common Factor

We found the factors 22,9228 . The biggest common factor number is the GCF number.
So the greatest common factor 22,9228 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 828/22, 377/9228

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 828/22, 377/9228?

Answer: LCM of Numerators as per given numbers 828/22, 377/9228 is

LCM of Numerators i.e. for 828,377 is 312156

GCF of denominators i.e. for 22,9228 is 2.

Thus, LCM of Fractions is 156078.Finally, LCM of Fractions for 828/22, 377/9228 is 156078.