Least Common Multiple of 946/715, 421/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 946/715, 421/297 quickly i.e. 36206 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 946/715, 421/297 is 36206.

LCM(946/715, 421/297) = 36206

LCM of 946/715, 421/297

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 946/715,421/297

Given numbers are 946/715,421/297

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 946,421

Least Common Multiple of Numerators i.e. LCM of 946,421 is 398266.

GCF of Denominators means GCF of 715,297 as per the given fractions.

GCF of 715,297 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 946,421

LCM of Fractions 946/715,421/297 is 36206

Given numbers has no common factors except 1. So, there LCM is their product i.e 398266

Least Common Multiple of 946,421 with GCF Formula

Least Common Multiple of 946,421 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 946,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(946,421) = 1

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

GCF(946,421) x common factors =1 x 1 = 1

LCM(946,421) = ( 946 × 421 ) / 1

LCM(946,421) = 398266 / 1

LCM(946,421) = 398266


Lets's calculate GCF of 715,297

11 715, 297
65, 27

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 398266/11

Therefore the LCM of Fractions 946/715,421/297 is 36206

Greatest Common Factor of 715,297 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,297 By Matching Biggest Common Factor Method

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 297

List of positive integer factors of 297 that divides 297 without a remainder.

1,3,9,11,27,33,99,297

Greatest Common Factor

We found the factors 715,297 . The biggest common factor number is the GCF number.
So the greatest common factor 715,297 is 11.


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 946/715, 421/297

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 946/715, 421/297?

Answer: LCM of Numerators as per given numbers 946/715, 421/297 is

LCM of Numerators i.e. for 946,421 is 398266

GCF of denominators i.e. for 715,297 is 11.

Thus, LCM of Fractions is 36206.Finally, LCM of Fractions for 946/715, 421/297 is 36206.