Least Common Multiple of 68/418, 47/401, 907/429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/418, 47/401, 907/429 quickly i.e. 2898772 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/418, 47/401, 907/429 is 2898772.

LCM(68/418, 47/401, 907/429) = 2898772

LCM of 68/418, 47/401, 907/429

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 68/418,47/401,907/429

Given numbers are 68/418,47/401,907/429

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 68,47,907

Least Common Multiple of Numerators i.e. LCM of 68,47,907 is 2898772.

GCF of Denominators means GCF of 418,401,429 as per the given fractions.

GCF of 418,401,429 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,47,907

LCM of Fractions 68/418,47/401,907/429 is 2898772

Given numbers has no common factors except 1. So, there LCM is their product i.e 2898772

Least Common Multiple of 68,47,907 with GCF Formula

Least Common Multiple of 68,47,907 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 68,47,907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,47,907) = 1

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

GCF(68,47,907) x common factors =1 x 1 = 1

LCM(68,47,907) = ( 68 × 47 × 907 ) / 1

LCM(68,47,907) = 2898772 / 1

LCM(68,47,907) = 2898772


Lets's calculate GCF of 418,401,429

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2898772/1

Therefore the LCM of Fractions 68/418,47/401,907/429 is 2898772

Greatest Common Factor of 418,401,429 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,401,429 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 418,401,429 . The biggest common factor number is the GCF number.
So the greatest common factor 418,401,429 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 68/418, 47/401, 907/429

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 68/418, 47/401, 907/429?

Answer: LCM of Numerators as per given numbers 68/418, 47/401, 907/429 is

LCM of Numerators i.e. for 68,47,907 is 2898772

GCF of denominators i.e. for 418,401,429 is 1.

Thus, LCM of Fractions is 2898772.Finally, LCM of Fractions for 68/418, 47/401, 907/429 is 2898772.