Least Common Multiple of 820/146, 6984/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 820/146, 6984/512 quickly i.e. 715860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 820/146, 6984/512 is 715860.

LCM(820/146, 6984/512) = 715860

LCM of 820/146, 6984/512

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 820/146,6984/512

Given numbers are 820/146,6984/512

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 820,6984

Least Common Multiple of Numerators i.e. LCM of 820,6984 is 1431720.

GCF of Denominators means GCF of 146,512 as per the given fractions.

GCF of 146,512 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 820,6984

LCM of Fractions 820/146,6984/512 is 715860

2 820, 6984
2 410, 3492
205, 1746

∴ So the LCM of the given numbers is 2 x 2 x 205 x 1746 = 1431720

Least Common Multiple of 820,6984 with GCF Formula

Least Common Multiple of 820,6984 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 820,6984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,6984) = 4

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

GCF(820,6984) x common factors =4 x 1 = 4

LCM(820,6984) = ( 820 × 6984 ) / 4

LCM(820,6984) = 5726880 / 4

LCM(820,6984) = 1431720


Lets's calculate GCF of 146,512

2 146, 512
73, 256

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1431720/2

Therefore the LCM of Fractions 820/146,6984/512 is 715860

Greatest Common Factor of 146,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,512 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 146,512 . The biggest common factor number is the GCF number.
So the greatest common factor 146,512 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 820/146, 6984/512

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 820/146, 6984/512?

Answer: LCM of Numerators as per given numbers 820/146, 6984/512 is

LCM of Numerators i.e. for 820,6984 is 1431720

GCF of denominators i.e. for 146,512 is 2.

Thus, LCM of Fractions is 715860.Finally, LCM of Fractions for 820/146, 6984/512 is 715860.