Least Common Multiple of 288/148, 716/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/148, 716/314 quickly i.e. 25776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/148, 716/314 is 25776.

LCM(288/148, 716/314) = 25776

LCM of 288/148, 716/314

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 288/148,716/314

Given numbers are 288/148,716/314

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 288,716

Least Common Multiple of Numerators i.e. LCM of 288,716 is 51552.

GCF of Denominators means GCF of 148,314 as per the given fractions.

GCF of 148,314 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,716

LCM of Fractions 288/148,716/314 is 25776

2 288, 716
2 144, 358
72, 179

∴ So the LCM of the given numbers is 2 x 2 x 72 x 179 = 51552

Least Common Multiple of 288,716 with GCF Formula

Least Common Multiple of 288,716 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 288,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,716) = 4

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

GCF(288,716) x common factors =4 x 1 = 4

LCM(288,716) = ( 288 × 716 ) / 4

LCM(288,716) = 206208 / 4

LCM(288,716) = 51552


Lets's calculate GCF of 148,314

2 148, 314
74, 157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51552/2

Therefore the LCM of Fractions 288/148,716/314 is 25776

Greatest Common Factor of 148,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,314 By Matching Biggest Common Factor Method

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 148,314 . The biggest common factor number is the GCF number.
So the greatest common factor 148,314 is 2.


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 288/148, 716/314

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 288/148, 716/314?

Answer: LCM of Numerators as per given numbers 288/148, 716/314 is

LCM of Numerators i.e. for 288,716 is 51552

GCF of denominators i.e. for 148,314 is 2.

Thus, LCM of Fractions is 25776.Finally, LCM of Fractions for 288/148, 716/314 is 25776.