Least Common Multiple of 597/67, 143/85, 671/32

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 597/67, 143/85, 671/32 quickly i.e. 5207631 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 597/67, 143/85, 671/32 is 5207631.

LCM(597/67, 143/85, 671/32) = 5207631

LCM of 597/67, 143/85, 671/32

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 597/67,143/85,671/32

Given numbers are 597/67,143/85,671/32

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 597,143,671

Least Common Multiple of Numerators i.e. LCM of 597,143,671 is 5207631.

GCF of Denominators means GCF of 67,85,32 as per the given fractions.

GCF of 67,85,32 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 597,143,671

LCM of Fractions 597/67,143/85,671/32 is 5207631

11 597, 143, 671
597, 13, 61

∴ So the LCM of the given numbers is 11 x 597 x 13 x 61 = 5207631

Least Common Multiple of 597,143,671 with GCF Formula

Least Common Multiple of 597,143,671 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 597,143,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(597,143,671) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(597,143,671) x common factors =1 x 11 = 11

LCM(597,143,671) = ( 597 × 143 × 671 ) / 11

LCM(597,143,671) = 57283941 / 11

LCM(597,143,671) = 5207631


Lets's calculate GCF of 67,85,32

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5207631/1

Therefore the LCM of Fractions 597/67,143/85,671/32 is 5207631

Greatest Common Factor of 67,85,32 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,85,32 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Greatest Common Factor

We found the factors 67,85,32 . The biggest common factor number is the GCF number.
So the greatest common factor 67,85,32 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 597/67, 143/85, 671/32

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 597/67, 143/85, 671/32?

Answer: LCM of Numerators as per given numbers 597/67, 143/85, 671/32 is

LCM of Numerators i.e. for 597,143,671 is 5207631

GCF of denominators i.e. for 67,85,32 is 1.

Thus, LCM of Fractions is 5207631.Finally, LCM of Fractions for 597/67, 143/85, 671/32 is 5207631.