Least Common Multiple of 6632/820, 6068/2705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6632/820, 6068/2705 quickly i.e. 10060744/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6632/820, 6068/2705 is 10060744/5.

LCM(6632/820, 6068/2705) = 10060744/5

LCM of 6632/820, 6068/2705

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 6632/820,6068/2705

Given numbers are 6632/820,6068/2705

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 6632,6068

Least Common Multiple of Numerators i.e. LCM of 6632,6068 is 10060744.

GCF of Denominators means GCF of 820,2705 as per the given fractions.

GCF of 820,2705 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6632,6068

LCM of Fractions 6632/820,6068/2705 is 10060744/5

2 6632, 6068
2 3316, 3034
1658, 1517

∴ So the LCM of the given numbers is 2 x 2 x 1658 x 1517 = 10060744

Least Common Multiple of 6632,6068 with GCF Formula

Least Common Multiple of 6632,6068 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 6632,6068 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6632,6068) = 4

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

GCF(6632,6068) x common factors =4 x 1 = 4

LCM(6632,6068) = ( 6632 × 6068 ) / 4

LCM(6632,6068) = 40242976 / 4

LCM(6632,6068) = 10060744


Lets's calculate GCF of 820,2705

5 820, 2705
164, 541

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10060744/5

Therefore the LCM of Fractions 6632/820,6068/2705 is 10060744/5

Greatest Common Factor of 820,2705 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,2705 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 2705

List of positive integer factors of 2705 that divides 2705 without a remainder.

1,5,541,2705

Greatest Common Factor

We found the factors 820,2705 . The biggest common factor number is the GCF number.
So the greatest common factor 820,2705 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6632/820, 6068/2705

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 6632/820, 6068/2705?

Answer: LCM of Numerators as per given numbers 6632/820, 6068/2705 is

LCM of Numerators i.e. for 6632,6068 is 10060744

GCF of denominators i.e. for 820,2705 is 5.

Thus, LCM of Fractions is 10060744/5.Finally, LCM of Fractions for 6632/820, 6068/2705 is 10060744/5.