Least Common Multiple of 4829/690, 6864/8814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4829/690, 6864/8814 quickly i.e. 502216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4829/690, 6864/8814 is 502216.

LCM(4829/690, 6864/8814) = 502216

LCM of 4829/690, 6864/8814

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 4829/690,6864/8814

Given numbers are 4829/690,6864/8814

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 4829,6864

Least Common Multiple of Numerators i.e. LCM of 4829,6864 is 3013296.

GCF of Denominators means GCF of 690,8814 as per the given fractions.

GCF of 690,8814 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4829,6864

LCM of Fractions 4829/690,6864/8814 is 502216

11 4829, 6864
439, 624

∴ So the LCM of the given numbers is 11 x 439 x 624 = 3013296

Least Common Multiple of 4829,6864 with GCF Formula

Least Common Multiple of 4829,6864 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 4829,6864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4829,6864) = 11

common factors(in case of two or more numbers have common factors) = 1

GCF(4829,6864) x common factors =11 x 1 = 11

LCM(4829,6864) = ( 4829 × 6864 ) / 11

LCM(4829,6864) = 33146256 / 11

LCM(4829,6864) = 3013296


Lets's calculate GCF of 690,8814

2 690, 8814
3 345, 4407
115, 1469

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3013296/6

Therefore the LCM of Fractions 4829/690,6864/8814 is 502216

Greatest Common Factor of 690,8814 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,8814 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 8814

List of positive integer factors of 8814 that divides 8814 without a remainder.

1,2,3,6,13,26,39,78,113,226,339,678,1469,2938,4407,8814

Greatest Common Factor

We found the factors 690,8814 . The biggest common factor number is the GCF number.
So the greatest common factor 690,8814 is 6.


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 4829/690, 6864/8814

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 4829/690, 6864/8814?

Answer: LCM of Numerators as per given numbers 4829/690, 6864/8814 is

LCM of Numerators i.e. for 4829,6864 is 3013296

GCF of denominators i.e. for 690,8814 is 6.

Thus, LCM of Fractions is 502216.Finally, LCM of Fractions for 4829/690, 6864/8814 is 502216.