Least Common Multiple of 616/93, 696/40, 568/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 616/93, 696/40, 568/585 quickly i.e. 3805032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 616/93, 696/40, 568/585 is 3805032.

LCM(616/93, 696/40, 568/585) = 3805032

LCM of 616/93, 696/40, 568/585

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 616/93,696/40,568/585

Given numbers are 616/93,696/40,568/585

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 616,696,568

Least Common Multiple of Numerators i.e. LCM of 616,696,568 is 3805032.

GCF of Denominators means GCF of 93,40,585 as per the given fractions.

GCF of 93,40,585 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 616,696,568

LCM of Fractions 616/93,696/40,568/585 is 3805032

2 616, 696, 568
2 308, 348, 284
2 154, 174, 142
77, 87, 71

∴ So the LCM of the given numbers is 2 x 2 x 2 x 77 x 87 x 71 = 3805032

Least Common Multiple of 616,696,568 with GCF Formula

Least Common Multiple of 616,696,568 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 616,696,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(616,696,568) = 8

common factors(in case of two or more numbers have common factors) = 8

GCF(616,696,568) x common factors =8 x 8 = 64

LCM(616,696,568) = ( 616 × 696 × 568 ) / 64

LCM(616,696,568) = 243522048 / 64

LCM(616,696,568) = 3805032


Lets's calculate GCF of 93,40,585

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3805032/1

Therefore the LCM of Fractions 616/93,696/40,568/585 is 3805032

Greatest Common Factor of 93,40,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,40,585 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 93,40,585 . The biggest common factor number is the GCF number.
So the greatest common factor 93,40,585 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 616/93, 696/40, 568/585

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 616/93, 696/40, 568/585?

Answer: LCM of Numerators as per given numbers 616/93, 696/40, 568/585 is

LCM of Numerators i.e. for 616,696,568 is 3805032

GCF of denominators i.e. for 93,40,585 is 1.

Thus, LCM of Fractions is 3805032.Finally, LCM of Fractions for 616/93, 696/40, 568/585 is 3805032.