Least Common Multiple of 706/77, 398/8047

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 706/77, 398/8047 quickly i.e. 140494 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 706/77, 398/8047 is 140494.

LCM(706/77, 398/8047) = 140494

LCM of 706/77, 398/8047

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 706/77,398/8047

Given numbers are 706/77,398/8047

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 706,398

Least Common Multiple of Numerators i.e. LCM of 706,398 is 140494.

GCF of Denominators means GCF of 77,8047 as per the given fractions.

GCF of 77,8047 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 706,398

LCM of Fractions 706/77,398/8047 is 140494

2 706, 398
353, 199

∴ So the LCM of the given numbers is 2 x 353 x 199 = 140494

Least Common Multiple of 706,398 with GCF Formula

Least Common Multiple of 706,398 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 706,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(706,398) = 2

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

GCF(706,398) x common factors =2 x 1 = 2

LCM(706,398) = ( 706 × 398 ) / 2

LCM(706,398) = 280988 / 2

LCM(706,398) = 140494


Lets's calculate GCF of 77,8047

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 140494/1

Therefore the LCM of Fractions 706/77,398/8047 is 140494

Greatest Common Factor of 77,8047 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,8047 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 8047

List of positive integer factors of 8047 that divides 8047 without a remainder.

1,13,619,8047

Greatest Common Factor

We found the factors 77,8047 . The biggest common factor number is the GCF number.
So the greatest common factor 77,8047 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 706/77, 398/8047

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 706/77, 398/8047?

Answer: LCM of Numerators as per given numbers 706/77, 398/8047 is

LCM of Numerators i.e. for 706,398 is 140494

GCF of denominators i.e. for 77,8047 is 1.

Thus, LCM of Fractions is 140494.Finally, LCM of Fractions for 706/77, 398/8047 is 140494.