Least Common Multiple of 6/564, 93/237, 48/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6/564, 93/237, 48/702 quickly i.e. 496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/564, 93/237, 48/702 is 496.

LCM(6/564, 93/237, 48/702) = 496

LCM of 6/564, 93/237, 48/702

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 6/564,93/237,48/702

Given numbers are 6/564,93/237,48/702

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 6,93,48

Least Common Multiple of Numerators i.e. LCM of 6,93,48 is 1488.

GCF of Denominators means GCF of 564,237,702 as per the given fractions.

GCF of 564,237,702 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,93,48

LCM of Fractions 6/564,93/237,48/702 is 496

2 6, 93, 48
3 3, 93, 24
1, 31, 8

∴ So the LCM of the given numbers is 2 x 3 x 1 x 31 x 8 = 1488

Least Common Multiple of 6,93,48 with GCF Formula

Least Common Multiple of 6,93,48 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 6,93,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,93,48) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(6,93,48) x common factors =3 x 6 = 18

LCM(6,93,48) = ( 6 × 93 × 48 ) / 18

LCM(6,93,48) = 26784 / 18

LCM(6,93,48) = 1488


Lets's calculate GCF of 564,237,702

3 564, 237, 702
188, 79, 234

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1488/3

Therefore the LCM of Fractions 6/564,93/237,48/702 is 496

Greatest Common Factor of 564,237,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,237,702 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Greatest Common Factor

We found the factors 564,237,702 . The biggest common factor number is the GCF number.
So the greatest common factor 564,237,702 is 3.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6/564, 93/237, 48/702

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 6/564, 93/237, 48/702?

Answer: LCM of Numerators as per given numbers 6/564, 93/237, 48/702 is

LCM of Numerators i.e. for 6,93,48 is 1488

GCF of denominators i.e. for 564,237,702 is 3.

Thus, LCM of Fractions is 496.Finally, LCM of Fractions for 6/564, 93/237, 48/702 is 496.