Least Common Multiple of 22/36, 31/34, 196/776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/36, 31/34, 196/776 quickly i.e. 33418 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/36, 31/34, 196/776 is 33418.

LCM(22/36, 31/34, 196/776) = 33418

LCM of 22/36, 31/34, 196/776

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 22/36,31/34,196/776

Given numbers are 22/36,31/34,196/776

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 22,31,196

Least Common Multiple of Numerators i.e. LCM of 22,31,196 is 66836.

GCF of Denominators means GCF of 36,34,776 as per the given fractions.

GCF of 36,34,776 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,31,196

LCM of Fractions 22/36,31/34,196/776 is 33418

2 22, 31, 196
11, 31, 98

∴ So the LCM of the given numbers is 2 x 11 x 31 x 98 = 66836

Least Common Multiple of 22,31,196 with GCF Formula

Least Common Multiple of 22,31,196 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 22,31,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,31,196) = 1

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

GCF(22,31,196) x common factors =1 x 2 = 2

LCM(22,31,196) = ( 22 × 31 × 196 ) / 2

LCM(22,31,196) = 133672 / 2

LCM(22,31,196) = 66836


Lets's calculate GCF of 36,34,776

2 36, 34, 776
18, 17, 388

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66836/2

Therefore the LCM of Fractions 22/36,31/34,196/776 is 33418

Greatest Common Factor of 36,34,776 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,34,776 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Greatest Common Factor

We found the factors 36,34,776 . The biggest common factor number is the GCF number.
So the greatest common factor 36,34,776 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 22/36, 31/34, 196/776

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 22/36, 31/34, 196/776?

Answer: LCM of Numerators as per given numbers 22/36, 31/34, 196/776 is

LCM of Numerators i.e. for 22,31,196 is 66836

GCF of denominators i.e. for 36,34,776 is 2.

Thus, LCM of Fractions is 33418.Finally, LCM of Fractions for 22/36, 31/34, 196/776 is 33418.