Least Common Multiple of 22/42, 14/52, 196/554

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/42, 14/52, 196/554 quickly i.e. 1078 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/42, 14/52, 196/554 is 1078.

LCM(22/42, 14/52, 196/554) = 1078

LCM of 22/42, 14/52, 196/554

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 22/42,14/52,196/554

Given numbers are 22/42,14/52,196/554

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 22,14,196

Least Common Multiple of Numerators i.e. LCM of 22,14,196 is 2156.

GCF of Denominators means GCF of 42,52,554 as per the given fractions.

GCF of 42,52,554 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,14,196

LCM of Fractions 22/42,14/52,196/554 is 1078

2 22, 14, 196
7 11, 7, 98
11, 1, 14

∴ So the LCM of the given numbers is 2 x 7 x 11 x 1 x 14 = 2156

Least Common Multiple of 22,14,196 with GCF Formula

Least Common Multiple of 22,14,196 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 22,14,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,14,196) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(22,14,196) x common factors =2 x 14 = 28

LCM(22,14,196) = ( 22 × 14 × 196 ) / 28

LCM(22,14,196) = 60368 / 28

LCM(22,14,196) = 2156


Lets's calculate GCF of 42,52,554

2 42, 52, 554
21, 26, 277

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2156/2

Therefore the LCM of Fractions 22/42,14/52,196/554 is 1078

Greatest Common Factor of 42,52,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,52,554 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 42,52,554 . The biggest common factor number is the GCF number.
So the greatest common factor 42,52,554 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 22/42, 14/52, 196/554

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 22/42, 14/52, 196/554?

Answer: LCM of Numerators as per given numbers 22/42, 14/52, 196/554 is

LCM of Numerators i.e. for 22,14,196 is 2156

GCF of denominators i.e. for 42,52,554 is 2.

Thus, LCM of Fractions is 1078.Finally, LCM of Fractions for 22/42, 14/52, 196/554 is 1078.