Least Common Multiple of 218/825, 4916/5685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 218/825, 4916/5685 quickly i.e. 535844/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 218/825, 4916/5685 is 535844/15.

LCM(218/825, 4916/5685) = 535844/15

LCM of 218/825, 4916/5685

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 218/825,4916/5685

Given numbers are 218/825,4916/5685

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 218,4916

Least Common Multiple of Numerators i.e. LCM of 218,4916 is 535844.

GCF of Denominators means GCF of 825,5685 as per the given fractions.

GCF of 825,5685 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 218,4916

LCM of Fractions 218/825,4916/5685 is 535844/15

2 218, 4916
109, 2458

∴ So the LCM of the given numbers is 2 x 109 x 2458 = 535844

Least Common Multiple of 218,4916 with GCF Formula

Least Common Multiple of 218,4916 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 218,4916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,4916) = 2

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

GCF(218,4916) x common factors =2 x 1 = 2

LCM(218,4916) = ( 218 × 4916 ) / 2

LCM(218,4916) = 1071688 / 2

LCM(218,4916) = 535844


Lets's calculate GCF of 825,5685

3 825, 5685
5 275, 1895
55, 379

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 535844/15

Therefore the LCM of Fractions 218/825,4916/5685 is 535844/15

Greatest Common Factor of 825,5685 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,5685 By Matching Biggest Common Factor Method

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 5685

List of positive integer factors of 5685 that divides 5685 without a remainder.

1,3,5,15,379,1137,1895,5685

Greatest Common Factor

We found the factors 825,5685 . The biggest common factor number is the GCF number.
So the greatest common factor 825,5685 is 15.


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 218/825, 4916/5685

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 218/825, 4916/5685?

Answer: LCM of Numerators as per given numbers 218/825, 4916/5685 is

LCM of Numerators i.e. for 218,4916 is 535844

GCF of denominators i.e. for 825,5685 is 15.

Thus, LCM of Fractions is 535844/15.Finally, LCM of Fractions for 218/825, 4916/5685 is 535844/15.