Least Common Multiple of 22/836, 6149/7128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/836, 6149/7128 quickly i.e. 12298/44 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/836, 6149/7128 is 12298/44.

LCM(22/836, 6149/7128) = 12298/44

LCM of 22/836, 6149/7128

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 22/836,6149/7128

Given numbers are 22/836,6149/7128

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 22,6149

Least Common Multiple of Numerators i.e. LCM of 22,6149 is 12298.

GCF of Denominators means GCF of 836,7128 as per the given fractions.

GCF of 836,7128 is 44 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,6149

LCM of Fractions 22/836,6149/7128 is 12298/44

11 22, 6149
2, 559

∴ So the LCM of the given numbers is 11 x 2 x 559 = 12298

Least Common Multiple of 22,6149 with GCF Formula

Least Common Multiple of 22,6149 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 22,6149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,6149) = 11

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

GCF(22,6149) x common factors =11 x 1 = 11

LCM(22,6149) = ( 22 × 6149 ) / 11

LCM(22,6149) = 135278 / 11

LCM(22,6149) = 12298


Lets's calculate GCF of 836,7128

2 836, 7128
2 418, 3564
11 209, 1782
19, 162

∴ So the GCF of the given numbers is 2 x 2 x 11 = 44

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12298/44

Therefore the LCM of Fractions 22/836,6149/7128 is 12298/44

Greatest Common Factor of 836,7128 By Matching Biggest Common Factor Method

Greatest Common Factor of 836,7128 By Matching Biggest Common Factor Method

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 7128

List of positive integer factors of 7128 that divides 7128 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,27,33,36,44,54,66,72,81,88,99,108,132,162,198,216,264,297,324,396,594,648,792,891,1188,1782,2376,3564,7128

Greatest Common Factor

We found the factors 836,7128 . The biggest common factor number is the GCF number.
So the greatest common factor 836,7128 is 44.


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 22/836, 6149/7128

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 22/836, 6149/7128?

Answer: LCM of Numerators as per given numbers 22/836, 6149/7128 is

LCM of Numerators i.e. for 22,6149 is 12298

GCF of denominators i.e. for 836,7128 is 44.

Thus, LCM of Fractions is 12298/44.Finally, LCM of Fractions for 22/836, 6149/7128 is 12298/44.