Least Common Multiple of 2828/676, 8140/9823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2828/676, 8140/9823 quickly i.e. 5754980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2828/676, 8140/9823 is 5754980.

LCM(2828/676, 8140/9823) = 5754980

LCM of 2828/676, 8140/9823

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 2828/676,8140/9823

Given numbers are 2828/676,8140/9823

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 2828,8140

Least Common Multiple of Numerators i.e. LCM of 2828,8140 is 5754980.

GCF of Denominators means GCF of 676,9823 as per the given fractions.

GCF of 676,9823 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2828,8140

LCM of Fractions 2828/676,8140/9823 is 5754980

2 2828, 8140
2 1414, 4070
707, 2035

∴ So the LCM of the given numbers is 2 x 2 x 707 x 2035 = 5754980

Least Common Multiple of 2828,8140 with GCF Formula

Least Common Multiple of 2828,8140 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 2828,8140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2828,8140) = 4

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

GCF(2828,8140) x common factors =4 x 1 = 4

LCM(2828,8140) = ( 2828 × 8140 ) / 4

LCM(2828,8140) = 23019920 / 4

LCM(2828,8140) = 5754980


Lets's calculate GCF of 676,9823

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5754980/1

Therefore the LCM of Fractions 2828/676,8140/9823 is 5754980

Greatest Common Factor of 676,9823 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,9823 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 9823

List of positive integer factors of 9823 that divides 9823 without a remainder.

1,11,19,47,209,517,893,9823

Greatest Common Factor

We found the factors 676,9823 . The biggest common factor number is the GCF number.
So the greatest common factor 676,9823 is 1.


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 2828/676, 8140/9823

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 2828/676, 8140/9823?

Answer: LCM of Numerators as per given numbers 2828/676, 8140/9823 is

LCM of Numerators i.e. for 2828,8140 is 5754980

GCF of denominators i.e. for 676,9823 is 1.

Thus, LCM of Fractions is 5754980.Finally, LCM of Fractions for 2828/676, 8140/9823 is 5754980.