Least Common Multiple of 84/276, 76/144, 669/105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/276, 76/144, 669/105 quickly i.e. 118636 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/276, 76/144, 669/105 is 118636.

LCM(84/276, 76/144, 669/105) = 118636

LCM of 84/276, 76/144, 669/105

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 84/276,76/144,669/105

Given numbers are 84/276,76/144,669/105

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 84,76,669

Least Common Multiple of Numerators i.e. LCM of 84,76,669 is 355908.

GCF of Denominators means GCF of 276,144,105 as per the given fractions.

GCF of 276,144,105 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,76,669

LCM of Fractions 84/276,76/144,669/105 is 118636

2 84, 76, 669
2 42, 38, 669
3 21, 19, 669
7, 19, 223

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 19 x 223 = 355908

Least Common Multiple of 84,76,669 with GCF Formula

Least Common Multiple of 84,76,669 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 84,76,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,76,669) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(84,76,669) x common factors =1 x 12 = 12

LCM(84,76,669) = ( 84 × 76 × 669 ) / 12

LCM(84,76,669) = 4270896 / 12

LCM(84,76,669) = 355908


Lets's calculate GCF of 276,144,105

3 276, 144, 105
92, 48, 35

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 355908/3

Therefore the LCM of Fractions 84/276,76/144,669/105 is 118636

Greatest Common Factor of 276,144,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 276,144,105 By Matching Biggest Common Factor Method

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 276,144,105 . The biggest common factor number is the GCF number.
So the greatest common factor 276,144,105 is 3.


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 84/276, 76/144, 669/105

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 84/276, 76/144, 669/105?

Answer: LCM of Numerators as per given numbers 84/276, 76/144, 669/105 is

LCM of Numerators i.e. for 84,76,669 is 355908

GCF of denominators i.e. for 276,144,105 is 3.

Thus, LCM of Fractions is 118636.Finally, LCM of Fractions for 84/276, 76/144, 669/105 is 118636.