Least Common Multiple of 66/968, 434/490, 873/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/968, 434/490, 873/710 quickly i.e. 2083851 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/968, 434/490, 873/710 is 2083851.

LCM(66/968, 434/490, 873/710) = 2083851

LCM of 66/968, 434/490, 873/710

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 66/968,434/490,873/710

Given numbers are 66/968,434/490,873/710

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 66,434,873

Least Common Multiple of Numerators i.e. LCM of 66,434,873 is 4167702.

GCF of Denominators means GCF of 968,490,710 as per the given fractions.

GCF of 968,490,710 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,434,873

LCM of Fractions 66/968,434/490,873/710 is 2083851

2 66, 434, 873
3 33, 217, 873
11, 217, 291

∴ So the LCM of the given numbers is 2 x 3 x 11 x 217 x 291 = 4167702

Least Common Multiple of 66,434,873 with GCF Formula

Least Common Multiple of 66,434,873 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 66,434,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,434,873) = 1

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

GCF(66,434,873) x common factors =1 x 6 = 6

LCM(66,434,873) = ( 66 × 434 × 873 ) / 6

LCM(66,434,873) = 25006212 / 6

LCM(66,434,873) = 4167702


Lets's calculate GCF of 968,490,710

2 968, 490, 710
484, 245, 355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4167702/2

Therefore the LCM of Fractions 66/968,434/490,873/710 is 2083851

Greatest Common Factor of 968,490,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,490,710 By Matching Biggest Common Factor Method

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 968,490,710 . The biggest common factor number is the GCF number.
So the greatest common factor 968,490,710 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 66/968, 434/490, 873/710

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 66/968, 434/490, 873/710?

Answer: LCM of Numerators as per given numbers 66/968, 434/490, 873/710 is

LCM of Numerators i.e. for 66,434,873 is 4167702

GCF of denominators i.e. for 968,490,710 is 2.

Thus, LCM of Fractions is 2083851.Finally, LCM of Fractions for 66/968, 434/490, 873/710 is 2083851.