Least Common Multiple of 177/48, 647/51, 975/533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 177/48, 647/51, 975/533 quickly i.e. 37218675 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 177/48, 647/51, 975/533 is 37218675.

LCM(177/48, 647/51, 975/533) = 37218675

LCM of 177/48, 647/51, 975/533

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 177/48,647/51,975/533

Given numbers are 177/48,647/51,975/533

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 177,647,975

Least Common Multiple of Numerators i.e. LCM of 177,647,975 is 37218675.

GCF of Denominators means GCF of 48,51,533 as per the given fractions.

GCF of 48,51,533 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 177,647,975

LCM of Fractions 177/48,647/51,975/533 is 37218675

3 177, 647, 975
59, 647, 325

∴ So the LCM of the given numbers is 3 x 59 x 647 x 325 = 37218675

Least Common Multiple of 177,647,975 with GCF Formula

Least Common Multiple of 177,647,975 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 177,647,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(177,647,975) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(177,647,975) x common factors =1 x 3 = 3

LCM(177,647,975) = ( 177 × 647 × 975 ) / 3

LCM(177,647,975) = 111656025 / 3

LCM(177,647,975) = 37218675


Lets's calculate GCF of 48,51,533

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37218675/1

Therefore the LCM of Fractions 177/48,647/51,975/533 is 37218675

Greatest Common Factor of 48,51,533 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,51,533 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Greatest Common Factor

We found the factors 48,51,533 . The biggest common factor number is the GCF number.
So the greatest common factor 48,51,533 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 177/48, 647/51, 975/533

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 177/48, 647/51, 975/533?

Answer: LCM of Numerators as per given numbers 177/48, 647/51, 975/533 is

LCM of Numerators i.e. for 177,647,975 is 37218675

GCF of denominators i.e. for 48,51,533 is 1.

Thus, LCM of Fractions is 37218675.Finally, LCM of Fractions for 177/48, 647/51, 975/533 is 37218675.