Least Common Multiple of 62/313, 48/684, 675/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 62/313, 48/684, 675/886 quickly i.e. 334800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/313, 48/684, 675/886 is 334800.

LCM(62/313, 48/684, 675/886) = 334800

LCM of 62/313, 48/684, 675/886

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 62/313,48/684,675/886

Given numbers are 62/313,48/684,675/886

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 62,48,675

Least Common Multiple of Numerators i.e. LCM of 62,48,675 is 334800.

GCF of Denominators means GCF of 313,684,886 as per the given fractions.

GCF of 313,684,886 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,48,675

LCM of Fractions 62/313,48/684,675/886 is 334800

2 62, 48, 675
3 31, 24, 675
31, 8, 225

∴ So the LCM of the given numbers is 2 x 3 x 31 x 8 x 225 = 334800

Least Common Multiple of 62,48,675 with GCF Formula

Least Common Multiple of 62,48,675 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 62,48,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,48,675) = 1

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

GCF(62,48,675) x common factors =1 x 6 = 6

LCM(62,48,675) = ( 62 × 48 × 675 ) / 6

LCM(62,48,675) = 2008800 / 6

LCM(62,48,675) = 334800


Lets's calculate GCF of 313,684,886

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 334800/1

Therefore the LCM of Fractions 62/313,48/684,675/886 is 334800

Greatest Common Factor of 313,684,886 By Matching Biggest Common Factor Method

Greatest Common Factor of 313,684,886 By Matching Biggest Common Factor Method

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Greatest Common Factor

We found the factors 313,684,886 . The biggest common factor number is the GCF number.
So the greatest common factor 313,684,886 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 62/313, 48/684, 675/886

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 62/313, 48/684, 675/886?

Answer: LCM of Numerators as per given numbers 62/313, 48/684, 675/886 is

LCM of Numerators i.e. for 62,48,675 is 334800

GCF of denominators i.e. for 313,684,886 is 1.

Thus, LCM of Fractions is 334800.Finally, LCM of Fractions for 62/313, 48/684, 675/886 is 334800.