Least Common Multiple of 769/41, 470/9901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 769/41, 470/9901 quickly i.e. 361430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 769/41, 470/9901 is 361430.

LCM(769/41, 470/9901) = 361430

LCM of 769/41, 470/9901

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 769/41,470/9901

Given numbers are 769/41,470/9901

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 769,470

Least Common Multiple of Numerators i.e. LCM of 769,470 is 361430.

GCF of Denominators means GCF of 41,9901 as per the given fractions.

GCF of 41,9901 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 769,470

LCM of Fractions 769/41,470/9901 is 361430

Given numbers has no common factors except 1. So, there LCM is their product i.e 361430

Least Common Multiple of 769,470 with GCF Formula

Least Common Multiple of 769,470 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 769,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,470) = 1

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

GCF(769,470) x common factors =1 x 1 = 1

LCM(769,470) = ( 769 × 470 ) / 1

LCM(769,470) = 361430 / 1

LCM(769,470) = 361430


Lets's calculate GCF of 41,9901

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 361430/1

Therefore the LCM of Fractions 769/41,470/9901 is 361430

Greatest Common Factor of 41,9901 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,9901 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 9901

List of positive integer factors of 9901 that divides 9901 without a remainder.

1,9901

Greatest Common Factor

We found the factors 41,9901 . The biggest common factor number is the GCF number.
So the greatest common factor 41,9901 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 769/41, 470/9901

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 769/41, 470/9901?

Answer: LCM of Numerators as per given numbers 769/41, 470/9901 is

LCM of Numerators i.e. for 769,470 is 361430

GCF of denominators i.e. for 41,9901 is 1.

Thus, LCM of Fractions is 361430.Finally, LCM of Fractions for 769/41, 470/9901 is 361430.