Least Common Multiple of 828/69, 839/3724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 828/69, 839/3724 quickly i.e. 694692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 828/69, 839/3724 is 694692.

LCM(828/69, 839/3724) = 694692

LCM of 828/69, 839/3724

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 828/69,839/3724

Given numbers are 828/69,839/3724

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 828,839

Least Common Multiple of Numerators i.e. LCM of 828,839 is 694692.

GCF of Denominators means GCF of 69,3724 as per the given fractions.

GCF of 69,3724 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 828,839

LCM of Fractions 828/69,839/3724 is 694692

Given numbers has no common factors except 1. So, there LCM is their product i.e 694692

Least Common Multiple of 828,839 with GCF Formula

Least Common Multiple of 828,839 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 828,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,839) = 1

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

GCF(828,839) x common factors =1 x 1 = 1

LCM(828,839) = ( 828 × 839 ) / 1

LCM(828,839) = 694692 / 1

LCM(828,839) = 694692


Lets's calculate GCF of 69,3724

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 694692/1

Therefore the LCM of Fractions 828/69,839/3724 is 694692

Greatest Common Factor of 69,3724 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,3724 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 3724

List of positive integer factors of 3724 that divides 3724 without a remainder.

1,2,4,7,14,19,28,38,49,76,98,133,196,266,532,931,1862,3724

Greatest Common Factor

We found the factors 69,3724 . The biggest common factor number is the GCF number.
So the greatest common factor 69,3724 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 828/69, 839/3724

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 828/69, 839/3724?

Answer: LCM of Numerators as per given numbers 828/69, 839/3724 is

LCM of Numerators i.e. for 828,839 is 694692

GCF of denominators i.e. for 69,3724 is 1.

Thus, LCM of Fractions is 694692.Finally, LCM of Fractions for 828/69, 839/3724 is 694692.