Least Common Multiple of 819/70, 821/5628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 819/70, 821/5628 quickly i.e. 672399/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 819/70, 821/5628 is 672399/14.

LCM(819/70, 821/5628) = 672399/14

LCM of 819/70, 821/5628

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 819/70,821/5628

Given numbers are 819/70,821/5628

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 819,821

Least Common Multiple of Numerators i.e. LCM of 819,821 is 672399.

GCF of Denominators means GCF of 70,5628 as per the given fractions.

GCF of 70,5628 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 819,821

LCM of Fractions 819/70,821/5628 is 672399/14

Given numbers has no common factors except 1. So, there LCM is their product i.e 672399

Least Common Multiple of 819,821 with GCF Formula

Least Common Multiple of 819,821 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 819,821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,821) = 1

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

GCF(819,821) x common factors =1 x 1 = 1

LCM(819,821) = ( 819 × 821 ) / 1

LCM(819,821) = 672399 / 1

LCM(819,821) = 672399


Lets's calculate GCF of 70,5628

2 70, 5628
7 35, 2814
5, 402

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 672399/14

Therefore the LCM of Fractions 819/70,821/5628 is 672399/14

Greatest Common Factor of 70,5628 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,5628 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 5628

List of positive integer factors of 5628 that divides 5628 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,67,84,134,201,268,402,469,804,938,1407,1876,2814,5628

Greatest Common Factor

We found the factors 70,5628 . The biggest common factor number is the GCF number.
So the greatest common factor 70,5628 is 14.


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 819/70, 821/5628

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 819/70, 821/5628?

Answer: LCM of Numerators as per given numbers 819/70, 821/5628 is

LCM of Numerators i.e. for 819,821 is 672399

GCF of denominators i.e. for 70,5628 is 14.

Thus, LCM of Fractions is 672399/14.Finally, LCM of Fractions for 819/70, 821/5628 is 672399/14.