Least Common Multiple of 777/84, 5698/155

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 777/84, 5698/155 quickly i.e. 17094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 777/84, 5698/155 is 17094.

LCM(777/84, 5698/155) = 17094

LCM of 777/84, 5698/155

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 777/84,5698/155

Given numbers are 777/84,5698/155

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 777,5698

Least Common Multiple of Numerators i.e. LCM of 777,5698 is 17094.

GCF of Denominators means GCF of 84,155 as per the given fractions.

GCF of 84,155 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 777,5698

LCM of Fractions 777/84,5698/155 is 17094

7 777, 5698
37 111, 814
3, 22

∴ So the LCM of the given numbers is 7 x 37 x 3 x 22 = 17094

Least Common Multiple of 777,5698 with GCF Formula

Least Common Multiple of 777,5698 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 777,5698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(777,5698) = 259

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

GCF(777,5698) x common factors =259 x 1 = 259

LCM(777,5698) = ( 777 × 5698 ) / 259

LCM(777,5698) = 4427346 / 259

LCM(777,5698) = 17094


Lets's calculate GCF of 84,155

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17094/1

Therefore the LCM of Fractions 777/84,5698/155 is 17094

Greatest Common Factor of 84,155 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,155 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Greatest Common Factor

We found the factors 84,155 . The biggest common factor number is the GCF number.
So the greatest common factor 84,155 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 777/84, 5698/155

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 777/84, 5698/155?

Answer: LCM of Numerators as per given numbers 777/84, 5698/155 is

LCM of Numerators i.e. for 777,5698 is 17094

GCF of denominators i.e. for 84,155 is 1.

Thus, LCM of Fractions is 17094.Finally, LCM of Fractions for 777/84, 5698/155 is 17094.