Least Common Multiple of 66/650, 468/282, 702/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/650, 468/282, 702/992 quickly i.e. 7722 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/650, 468/282, 702/992 is 7722.

LCM(66/650, 468/282, 702/992) = 7722

LCM of 66/650, 468/282, 702/992

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 66/650,468/282,702/992

Given numbers are 66/650,468/282,702/992

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 66,468,702

Least Common Multiple of Numerators i.e. LCM of 66,468,702 is 15444.

GCF of Denominators means GCF of 650,282,992 as per the given fractions.

GCF of 650,282,992 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,468,702

LCM of Fractions 66/650,468/282,702/992 is 7722

2 66, 468, 702
3 33, 234, 351
3 11, 78, 117
13 11, 26, 39
11, 2, 3

∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 11 x 2 x 3 = 15444

Least Common Multiple of 66,468,702 with GCF Formula

Least Common Multiple of 66,468,702 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 66,468,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,468,702) = 6

common factors(in case of two or more numbers have common factors) = 234

GCF(66,468,702) x common factors =6 x 234 = 1404

LCM(66,468,702) = ( 66 × 468 × 702 ) / 1404

LCM(66,468,702) = 21683376 / 1404

LCM(66,468,702) = 15444


Lets's calculate GCF of 650,282,992

2 650, 282, 992
325, 141, 496

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15444/2

Therefore the LCM of Fractions 66/650,468/282,702/992 is 7722

Greatest Common Factor of 650,282,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 650,282,992 By Matching Biggest Common Factor Method

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 650,282,992 . The biggest common factor number is the GCF number.
So the greatest common factor 650,282,992 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 66/650, 468/282, 702/992

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 66/650, 468/282, 702/992?

Answer: LCM of Numerators as per given numbers 66/650, 468/282, 702/992 is

LCM of Numerators i.e. for 66,468,702 is 15444

GCF of denominators i.e. for 650,282,992 is 2.

Thus, LCM of Fractions is 7722.Finally, LCM of Fractions for 66/650, 468/282, 702/992 is 7722.