Least Common Multiple of 461/77, 465/9373

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 461/77, 465/9373 quickly i.e. 214365/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 461/77, 465/9373 is 214365/7.

LCM(461/77, 465/9373) = 214365/7

LCM of 461/77, 465/9373

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 461/77,465/9373

Given numbers are 461/77,465/9373

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 461,465

Least Common Multiple of Numerators i.e. LCM of 461,465 is 214365.

GCF of Denominators means GCF of 77,9373 as per the given fractions.

GCF of 77,9373 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 461,465

LCM of Fractions 461/77,465/9373 is 214365/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 214365

Least Common Multiple of 461,465 with GCF Formula

Least Common Multiple of 461,465 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 461,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(461,465) = 1

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

GCF(461,465) x common factors =1 x 1 = 1

LCM(461,465) = ( 461 × 465 ) / 1

LCM(461,465) = 214365 / 1

LCM(461,465) = 214365


Lets's calculate GCF of 77,9373

7 77, 9373
11, 1339

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214365/7

Therefore the LCM of Fractions 461/77,465/9373 is 214365/7

Greatest Common Factor of 77,9373 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,9373 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 9373

List of positive integer factors of 9373 that divides 9373 without a remainder.

1,7,13,91,103,721,1339,9373

Greatest Common Factor

We found the factors 77,9373 . The biggest common factor number is the GCF number.
So the greatest common factor 77,9373 is 7.


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 461/77, 465/9373

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 461/77, 465/9373?

Answer: LCM of Numerators as per given numbers 461/77, 465/9373 is

LCM of Numerators i.e. for 461,465 is 214365

GCF of denominators i.e. for 77,9373 is 7.

Thus, LCM of Fractions is 214365/7.Finally, LCM of Fractions for 461/77, 465/9373 is 214365/7.