Least Common Multiple of 2066/84, 5518/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2066/84, 5518/696 quickly i.e. 5700094/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2066/84, 5518/696 is 5700094/12.

LCM(2066/84, 5518/696) = 5700094/12

LCM of 2066/84, 5518/696

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 2066/84,5518/696

Given numbers are 2066/84,5518/696

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 2066,5518

Least Common Multiple of Numerators i.e. LCM of 2066,5518 is 5700094.

GCF of Denominators means GCF of 84,696 as per the given fractions.

GCF of 84,696 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2066,5518

LCM of Fractions 2066/84,5518/696 is 5700094/12

2 2066, 5518
1033, 2759

∴ So the LCM of the given numbers is 2 x 1033 x 2759 = 5700094

Least Common Multiple of 2066,5518 with GCF Formula

Least Common Multiple of 2066,5518 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 2066,5518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2066,5518) = 2

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

GCF(2066,5518) x common factors =2 x 1 = 2

LCM(2066,5518) = ( 2066 × 5518 ) / 2

LCM(2066,5518) = 11400188 / 2

LCM(2066,5518) = 5700094


Lets's calculate GCF of 84,696

2 84, 696
2 42, 348
3 21, 174
7, 58

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5700094/12

Therefore the LCM of Fractions 2066/84,5518/696 is 5700094/12

Greatest Common Factor of 84,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,696 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 84,696 . The biggest common factor number is the GCF number.
So the greatest common factor 84,696 is 12.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2066/84, 5518/696

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 2066/84, 5518/696?

Answer: LCM of Numerators as per given numbers 2066/84, 5518/696 is

LCM of Numerators i.e. for 2066,5518 is 5700094

GCF of denominators i.e. for 84,696 is 12.

Thus, LCM of Fractions is 5700094/12.Finally, LCM of Fractions for 2066/84, 5518/696 is 5700094/12.