Least Common Multiple of 652/518, 345/468, 752/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 652/518, 345/468, 752/994 quickly i.e. 21144360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 652/518, 345/468, 752/994 is 21144360.

LCM(652/518, 345/468, 752/994) = 21144360

LCM of 652/518, 345/468, 752/994

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 652/518,345/468,752/994

Given numbers are 652/518,345/468,752/994

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 652,345,752

Least Common Multiple of Numerators i.e. LCM of 652,345,752 is 42288720.

GCF of Denominators means GCF of 518,468,994 as per the given fractions.

GCF of 518,468,994 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 652,345,752

LCM of Fractions 652/518,345/468,752/994 is 21144360

2 652, 345, 752
2 326, 345, 376
163, 345, 188

∴ So the LCM of the given numbers is 2 x 2 x 163 x 345 x 188 = 42288720

Least Common Multiple of 652,345,752 with GCF Formula

Least Common Multiple of 652,345,752 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 652,345,752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(652,345,752) = 1

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

GCF(652,345,752) x common factors =1 x 4 = 4

LCM(652,345,752) = ( 652 × 345 × 752 ) / 4

LCM(652,345,752) = 169154880 / 4

LCM(652,345,752) = 42288720


Lets's calculate GCF of 518,468,994

2 518, 468, 994
259, 234, 497

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42288720/2

Therefore the LCM of Fractions 652/518,345/468,752/994 is 21144360

Greatest Common Factor of 518,468,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 518,468,994 By Matching Biggest Common Factor Method

Factors of 518

List of positive integer factors of 518 that divides 518 without a remainder.

1,2,7,14,37,74,259,518

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 518,468,994 . The biggest common factor number is the GCF number.
So the greatest common factor 518,468,994 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 652/518, 345/468, 752/994

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 652/518, 345/468, 752/994?

Answer: LCM of Numerators as per given numbers 652/518, 345/468, 752/994 is

LCM of Numerators i.e. for 652,345,752 is 42288720

GCF of denominators i.e. for 518,468,994 is 2.

Thus, LCM of Fractions is 21144360.Finally, LCM of Fractions for 652/518, 345/468, 752/994 is 21144360.