Least Common Multiple of 81/776, 3456/4180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/776, 3456/4180 quickly i.e. 2592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/776, 3456/4180 is 2592.

LCM(81/776, 3456/4180) = 2592

LCM of 81/776, 3456/4180

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 81/776,3456/4180

Given numbers are 81/776,3456/4180

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 81,3456

Least Common Multiple of Numerators i.e. LCM of 81,3456 is 10368.

GCF of Denominators means GCF of 776,4180 as per the given fractions.

GCF of 776,4180 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,3456

LCM of Fractions 81/776,3456/4180 is 2592

3 81, 3456
3 27, 1152
3 9, 384
3, 128

∴ So the LCM of the given numbers is 3 x 3 x 3 x 3 x 128 = 10368

Least Common Multiple of 81,3456 with GCF Formula

Least Common Multiple of 81,3456 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 81,3456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,3456) = 27

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

GCF(81,3456) x common factors =27 x 1 = 27

LCM(81,3456) = ( 81 × 3456 ) / 27

LCM(81,3456) = 279936 / 27

LCM(81,3456) = 10368


Lets's calculate GCF of 776,4180

2 776, 4180
2 388, 2090
194, 1045

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10368/4

Therefore the LCM of Fractions 81/776,3456/4180 is 2592

Greatest Common Factor of 776,4180 By Matching Biggest Common Factor Method

Greatest Common Factor of 776,4180 By Matching Biggest Common Factor Method

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Factors of 4180

List of positive integer factors of 4180 that divides 4180 without a remainder.

1,2,4,5,10,11,19,20,22,38,44,55,76,95,110,190,209,220,380,418,836,1045,2090,4180

Greatest Common Factor

We found the factors 776,4180 . The biggest common factor number is the GCF number.
So the greatest common factor 776,4180 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 81/776, 3456/4180

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 81/776, 3456/4180?

Answer: LCM of Numerators as per given numbers 81/776, 3456/4180 is

LCM of Numerators i.e. for 81,3456 is 10368

GCF of denominators i.e. for 776,4180 is 4.

Thus, LCM of Fractions is 2592.Finally, LCM of Fractions for 81/776, 3456/4180 is 2592.