Least Common Multiple of 75/56, 71/33, 287/709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/56, 71/33, 287/709 quickly i.e. 1528275 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/56, 71/33, 287/709 is 1528275.

LCM(75/56, 71/33, 287/709) = 1528275

LCM of 75/56, 71/33, 287/709

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 75/56,71/33,287/709

Given numbers are 75/56,71/33,287/709

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 75,71,287

Least Common Multiple of Numerators i.e. LCM of 75,71,287 is 1528275.

GCF of Denominators means GCF of 56,33,709 as per the given fractions.

GCF of 56,33,709 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,71,287

LCM of Fractions 75/56,71/33,287/709 is 1528275

Given numbers has no common factors except 1. So, there LCM is their product i.e 1528275

Least Common Multiple of 75,71,287 with GCF Formula

Least Common Multiple of 75,71,287 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 75,71,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,71,287) = 1

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

GCF(75,71,287) x common factors =1 x 1 = 1

LCM(75,71,287) = ( 75 × 71 × 287 ) / 1

LCM(75,71,287) = 1528275 / 1

LCM(75,71,287) = 1528275


Lets's calculate GCF of 56,33,709

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1528275/1

Therefore the LCM of Fractions 75/56,71/33,287/709 is 1528275

Greatest Common Factor of 56,33,709 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,33,709 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Greatest Common Factor

We found the factors 56,33,709 . The biggest common factor number is the GCF number.
So the greatest common factor 56,33,709 is 1.


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 75/56, 71/33, 287/709

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 75/56, 71/33, 287/709?

Answer: LCM of Numerators as per given numbers 75/56, 71/33, 287/709 is

LCM of Numerators i.e. for 75,71,287 is 1528275

GCF of denominators i.e. for 56,33,709 is 1.

Thus, LCM of Fractions is 1528275.Finally, LCM of Fractions for 75/56, 71/33, 287/709 is 1528275.