Least Common Multiple of 64/172, 55/153, 213/671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/172, 55/153, 213/671 quickly i.e. 749760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/172, 55/153, 213/671 is 749760.

LCM(64/172, 55/153, 213/671) = 749760

LCM of 64/172, 55/153, 213/671

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 64/172,55/153,213/671

Given numbers are 64/172,55/153,213/671

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 64,55,213

Least Common Multiple of Numerators i.e. LCM of 64,55,213 is 749760.

GCF of Denominators means GCF of 172,153,671 as per the given fractions.

GCF of 172,153,671 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,55,213

LCM of Fractions 64/172,55/153,213/671 is 749760

Given numbers has no common factors except 1. So, there LCM is their product i.e 749760

Least Common Multiple of 64,55,213 with GCF Formula

Least Common Multiple of 64,55,213 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 64,55,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,55,213) = 1

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

GCF(64,55,213) x common factors =1 x 1 = 1

LCM(64,55,213) = ( 64 × 55 × 213 ) / 1

LCM(64,55,213) = 749760 / 1

LCM(64,55,213) = 749760


Lets's calculate GCF of 172,153,671

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 749760/1

Therefore the LCM of Fractions 64/172,55/153,213/671 is 749760

Greatest Common Factor of 172,153,671 By Matching Biggest Common Factor Method

Greatest Common Factor of 172,153,671 By Matching Biggest Common Factor Method

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1,11,61,671

Greatest Common Factor

We found the factors 172,153,671 . The biggest common factor number is the GCF number.
So the greatest common factor 172,153,671 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 64/172, 55/153, 213/671

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 64/172, 55/153, 213/671?

Answer: LCM of Numerators as per given numbers 64/172, 55/153, 213/671 is

LCM of Numerators i.e. for 64,55,213 is 749760

GCF of denominators i.e. for 172,153,671 is 1.

Thus, LCM of Fractions is 749760.Finally, LCM of Fractions for 64/172, 55/153, 213/671 is 749760.