Least Common Multiple of 7106/22, 2210/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7106/22, 2210/352 quickly i.e. 20995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7106/22, 2210/352 is 20995.

LCM(7106/22, 2210/352) = 20995

LCM of 7106/22, 2210/352

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 7106/22,2210/352

Given numbers are 7106/22,2210/352

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 7106,2210

Least Common Multiple of Numerators i.e. LCM of 7106,2210 is 461890.

GCF of Denominators means GCF of 22,352 as per the given fractions.

GCF of 22,352 is 22 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7106,2210

LCM of Fractions 7106/22,2210/352 is 20995

2 7106, 2210
17 3553, 1105
209, 65

∴ So the LCM of the given numbers is 2 x 17 x 209 x 65 = 461890

Least Common Multiple of 7106,2210 with GCF Formula

Least Common Multiple of 7106,2210 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 7106,2210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7106,2210) = 34

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

GCF(7106,2210) x common factors =34 x 1 = 34

LCM(7106,2210) = ( 7106 × 2210 ) / 34

LCM(7106,2210) = 15704260 / 34

LCM(7106,2210) = 461890


Lets's calculate GCF of 22,352

2 22, 352
11 11, 176
1, 16

∴ So the GCF of the given numbers is 2 x 11 = 22

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 461890/22

Therefore the LCM of Fractions 7106/22,2210/352 is 20995

Greatest Common Factor of 22,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,352 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 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 22,352 . The biggest common factor number is the GCF number.
So the greatest common factor 22,352 is 22.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7106/22, 2210/352

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 7106/22, 2210/352?

Answer: LCM of Numerators as per given numbers 7106/22, 2210/352 is

LCM of Numerators i.e. for 7106,2210 is 461890

GCF of denominators i.e. for 22,352 is 22.

Thus, LCM of Fractions is 20995.Finally, LCM of Fractions for 7106/22, 2210/352 is 20995.