Least Common Multiple of 144/68, 276/2088

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 144/68, 276/2088 quickly i.e. 828 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 144/68, 276/2088 is 828.

LCM(144/68, 276/2088) = 828

LCM of 144/68, 276/2088

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 144/68,276/2088

Given numbers are 144/68,276/2088

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 144,276

Least Common Multiple of Numerators i.e. LCM of 144,276 is 3312.

GCF of Denominators means GCF of 68,2088 as per the given fractions.

GCF of 68,2088 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 144,276

LCM of Fractions 144/68,276/2088 is 828

2 144, 276
2 72, 138
3 36, 69
12, 23

∴ So the LCM of the given numbers is 2 x 2 x 3 x 12 x 23 = 3312

Least Common Multiple of 144,276 with GCF Formula

Least Common Multiple of 144,276 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 144,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,276) = 12

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

GCF(144,276) x common factors =12 x 1 = 12

LCM(144,276) = ( 144 × 276 ) / 12

LCM(144,276) = 39744 / 12

LCM(144,276) = 3312


Lets's calculate GCF of 68,2088

2 68, 2088
2 34, 1044
17, 522

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3312/4

Therefore the LCM of Fractions 144/68,276/2088 is 828

Greatest Common Factor of 68,2088 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,2088 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 2088

List of positive integer factors of 2088 that divides 2088 without a remainder.

1,2,3,4,6,8,9,12,18,24,29,36,58,72,87,116,174,232,261,348,522,696,1044,2088

Greatest Common Factor

We found the factors 68,2088 . The biggest common factor number is the GCF number.
So the greatest common factor 68,2088 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 144/68, 276/2088

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 144/68, 276/2088?

Answer: LCM of Numerators as per given numbers 144/68, 276/2088 is

LCM of Numerators i.e. for 144,276 is 3312

GCF of denominators i.e. for 68,2088 is 4.

Thus, LCM of Fractions is 828.Finally, LCM of Fractions for 144/68, 276/2088 is 828.