Least Common Multiple of 823/68, 684/2520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 823/68, 684/2520 quickly i.e. 140733 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 823/68, 684/2520 is 140733.

LCM(823/68, 684/2520) = 140733

LCM of 823/68, 684/2520

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 823/68,684/2520

Given numbers are 823/68,684/2520

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 823,684

Least Common Multiple of Numerators i.e. LCM of 823,684 is 562932.

GCF of Denominators means GCF of 68,2520 as per the given fractions.

GCF of 68,2520 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 823,684

LCM of Fractions 823/68,684/2520 is 140733

Given numbers has no common factors except 1. So, there LCM is their product i.e 562932

Least Common Multiple of 823,684 with GCF Formula

Least Common Multiple of 823,684 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 823,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(823,684) = 1

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

GCF(823,684) x common factors =1 x 1 = 1

LCM(823,684) = ( 823 × 684 ) / 1

LCM(823,684) = 562932 / 1

LCM(823,684) = 562932


Lets's calculate GCF of 68,2520

2 68, 2520
2 34, 1260
17, 630

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 562932/4

Therefore the LCM of Fractions 823/68,684/2520 is 140733

Greatest Common Factor of 68,2520 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,2520 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 2520

List of positive integer factors of 2520 that divides 2520 without a remainder.

1,2,3,4,5,6,7,8,9,10,12,14,15,18,20,21,24,28,30,35,36,40,42,45,56,60,63,70,72,84,90,105,120,126,140,168,180,210,252,280,315,360,420,504,630,840,1260,2520

Greatest Common Factor

We found the factors 68,2520 . The biggest common factor number is the GCF number.
So the greatest common factor 68,2520 is 4.


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 823/68, 684/2520

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 823/68, 684/2520?

Answer: LCM of Numerators as per given numbers 823/68, 684/2520 is

LCM of Numerators i.e. for 823,684 is 562932

GCF of denominators i.e. for 68,2520 is 4.

Thus, LCM of Fractions is 140733.Finally, LCM of Fractions for 823/68, 684/2520 is 140733.