Least Common Multiple of 7829/777, 3634/371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7829/777, 3634/371 quickly i.e. 28450586/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7829/777, 3634/371 is 28450586/7.

LCM(7829/777, 3634/371) = 28450586/7

LCM of 7829/777, 3634/371

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 7829/777,3634/371

Given numbers are 7829/777,3634/371

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 7829,3634

Least Common Multiple of Numerators i.e. LCM of 7829,3634 is 28450586.

GCF of Denominators means GCF of 777,371 as per the given fractions.

GCF of 777,371 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7829,3634

LCM of Fractions 7829/777,3634/371 is 28450586/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 28450586

Least Common Multiple of 7829,3634 with GCF Formula

Least Common Multiple of 7829,3634 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 7829,3634 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7829,3634) = 1

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

GCF(7829,3634) x common factors =1 x 1 = 1

LCM(7829,3634) = ( 7829 × 3634 ) / 1

LCM(7829,3634) = 28450586 / 1

LCM(7829,3634) = 28450586


Lets's calculate GCF of 777,371

7 777, 371
111, 53

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28450586/7

Therefore the LCM of Fractions 7829/777,3634/371 is 28450586/7

Greatest Common Factor of 777,371 By Matching Biggest Common Factor Method

Greatest Common Factor of 777,371 By Matching Biggest Common Factor Method

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Greatest Common Factor

We found the factors 777,371 . The biggest common factor number is the GCF number.
So the greatest common factor 777,371 is 7.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7829/777, 3634/371

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 7829/777, 3634/371?

Answer: LCM of Numerators as per given numbers 7829/777, 3634/371 is

LCM of Numerators i.e. for 7829,3634 is 28450586

GCF of denominators i.e. for 777,371 is 7.

Thus, LCM of Fractions is 28450586/7.Finally, LCM of Fractions for 7829/777, 3634/371 is 28450586/7.