Least Common Multiple of 68/563, 62/740, 413/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/563, 62/740, 413/315 quickly i.e. 870604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/563, 62/740, 413/315 is 870604.

LCM(68/563, 62/740, 413/315) = 870604

LCM of 68/563, 62/740, 413/315

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 68/563,62/740,413/315

Given numbers are 68/563,62/740,413/315

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 68,62,413

Least Common Multiple of Numerators i.e. LCM of 68,62,413 is 870604.

GCF of Denominators means GCF of 563,740,315 as per the given fractions.

GCF of 563,740,315 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,62,413

LCM of Fractions 68/563,62/740,413/315 is 870604

2 68, 62, 413
34, 31, 413

∴ So the LCM of the given numbers is 2 x 34 x 31 x 413 = 870604

Least Common Multiple of 68,62,413 with GCF Formula

Least Common Multiple of 68,62,413 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 68,62,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,62,413) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(68,62,413) x common factors =1 x 2 = 2

LCM(68,62,413) = ( 68 × 62 × 413 ) / 2

LCM(68,62,413) = 1741208 / 2

LCM(68,62,413) = 870604


Lets's calculate GCF of 563,740,315

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 870604/1

Therefore the LCM of Fractions 68/563,62/740,413/315 is 870604

Greatest Common Factor of 563,740,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 563,740,315 By Matching Biggest Common Factor Method

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 563,740,315 . The biggest common factor number is the GCF number.
So the greatest common factor 563,740,315 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 68/563, 62/740, 413/315

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 68/563, 62/740, 413/315?

Answer: LCM of Numerators as per given numbers 68/563, 62/740, 413/315 is

LCM of Numerators i.e. for 68,62,413 is 870604

GCF of denominators i.e. for 563,740,315 is 1.

Thus, LCM of Fractions is 870604.Finally, LCM of Fractions for 68/563, 62/740, 413/315 is 870604.