Least Common Multiple of 189/22, 488/65, 701/769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 189/22, 488/65, 701/769 quickly i.e. 64654632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 189/22, 488/65, 701/769 is 64654632.

LCM(189/22, 488/65, 701/769) = 64654632

LCM of 189/22, 488/65, 701/769

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 189/22,488/65,701/769

Given numbers are 189/22,488/65,701/769

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 189,488,701

Least Common Multiple of Numerators i.e. LCM of 189,488,701 is 64654632.

GCF of Denominators means GCF of 22,65,769 as per the given fractions.

GCF of 22,65,769 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 189,488,701

LCM of Fractions 189/22,488/65,701/769 is 64654632

Given numbers has no common factors except 1. So, there LCM is their product i.e 64654632

Least Common Multiple of 189,488,701 with GCF Formula

Least Common Multiple of 189,488,701 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 189,488,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,488,701) = 1

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

GCF(189,488,701) x common factors =1 x 1 = 1

LCM(189,488,701) = ( 189 × 488 × 701 ) / 1

LCM(189,488,701) = 64654632 / 1

LCM(189,488,701) = 64654632


Lets's calculate GCF of 22,65,769

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64654632/1

Therefore the LCM of Fractions 189/22,488/65,701/769 is 64654632

Greatest Common Factor of 22,65,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,65,769 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Greatest Common Factor

We found the factors 22,65,769 . The biggest common factor number is the GCF number.
So the greatest common factor 22,65,769 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 189/22, 488/65, 701/769

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 189/22, 488/65, 701/769?

Answer: LCM of Numerators as per given numbers 189/22, 488/65, 701/769 is

LCM of Numerators i.e. for 189,488,701 is 64654632

GCF of denominators i.e. for 22,65,769 is 1.

Thus, LCM of Fractions is 64654632.Finally, LCM of Fractions for 189/22, 488/65, 701/769 is 64654632.