Least Common Multiple of 684/88, 777/3492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 684/88, 777/3492 quickly i.e. 44289 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 684/88, 777/3492 is 44289.

LCM(684/88, 777/3492) = 44289

LCM of 684/88, 777/3492

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 684/88,777/3492

Given numbers are 684/88,777/3492

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 684,777

Least Common Multiple of Numerators i.e. LCM of 684,777 is 177156.

GCF of Denominators means GCF of 88,3492 as per the given fractions.

GCF of 88,3492 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 684,777

LCM of Fractions 684/88,777/3492 is 44289

3 684, 777
228, 259

∴ So the LCM of the given numbers is 3 x 228 x 259 = 177156

Least Common Multiple of 684,777 with GCF Formula

Least Common Multiple of 684,777 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 684,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,777) = 3

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

GCF(684,777) x common factors =3 x 1 = 3

LCM(684,777) = ( 684 × 777 ) / 3

LCM(684,777) = 531468 / 3

LCM(684,777) = 177156


Lets's calculate GCF of 88,3492

2 88, 3492
2 44, 1746
22, 873

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177156/4

Therefore the LCM of Fractions 684/88,777/3492 is 44289

Greatest Common Factor of 88,3492 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,3492 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 3492

List of positive integer factors of 3492 that divides 3492 without a remainder.

1,2,3,4,6,9,12,18,36,97,194,291,388,582,873,1164,1746,3492

Greatest Common Factor

We found the factors 88,3492 . The biggest common factor number is the GCF number.
So the greatest common factor 88,3492 is 4.


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 684/88, 777/3492

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 684/88, 777/3492?

Answer: LCM of Numerators as per given numbers 684/88, 777/3492 is

LCM of Numerators i.e. for 684,777 is 177156

GCF of denominators i.e. for 88,3492 is 4.

Thus, LCM of Fractions is 44289.Finally, LCM of Fractions for 684/88, 777/3492 is 44289.