Least Common Multiple of 68/564, 480/204, 446/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/564, 480/204, 446/874 quickly i.e. 909840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/564, 480/204, 446/874 is 909840.

LCM(68/564, 480/204, 446/874) = 909840

LCM of 68/564, 480/204, 446/874

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 68/564,480/204,446/874

Given numbers are 68/564,480/204,446/874

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 68,480,446

Least Common Multiple of Numerators i.e. LCM of 68,480,446 is 1819680.

GCF of Denominators means GCF of 564,204,874 as per the given fractions.

GCF of 564,204,874 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,480,446

LCM of Fractions 68/564,480/204,446/874 is 909840

2 68, 480, 446
2 34, 240, 223
17, 120, 223

∴ So the LCM of the given numbers is 2 x 2 x 17 x 120 x 223 = 1819680

Least Common Multiple of 68,480,446 with GCF Formula

Least Common Multiple of 68,480,446 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 68,480,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,480,446) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(68,480,446) x common factors =2 x 4 = 8

LCM(68,480,446) = ( 68 × 480 × 446 ) / 8

LCM(68,480,446) = 14557440 / 8

LCM(68,480,446) = 1819680


Lets's calculate GCF of 564,204,874

2 564, 204, 874
282, 102, 437

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1819680/2

Therefore the LCM of Fractions 68/564,480/204,446/874 is 909840

Greatest Common Factor of 564,204,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,204,874 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 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 564,204,874 . The biggest common factor number is the GCF number.
So the greatest common factor 564,204,874 is 2.


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 68/564, 480/204, 446/874

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 68/564, 480/204, 446/874?

Answer: LCM of Numerators as per given numbers 68/564, 480/204, 446/874 is

LCM of Numerators i.e. for 68,480,446 is 1819680

GCF of denominators i.e. for 564,204,874 is 2.

Thus, LCM of Fractions is 909840.Finally, LCM of Fractions for 68/564, 480/204, 446/874 is 909840.