Least Common Multiple of 421/34, 257/52, 431/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 421/34, 257/52, 431/319 quickly i.e. 46632907 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 421/34, 257/52, 431/319 is 46632907.

LCM(421/34, 257/52, 431/319) = 46632907

LCM of 421/34, 257/52, 431/319

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 421/34,257/52,431/319

Given numbers are 421/34,257/52,431/319

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 421,257,431

Least Common Multiple of Numerators i.e. LCM of 421,257,431 is 46632907.

GCF of Denominators means GCF of 34,52,319 as per the given fractions.

GCF of 34,52,319 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 421,257,431

LCM of Fractions 421/34,257/52,431/319 is 46632907

Given numbers has no common factors except 1. So, there LCM is their product i.e 46632907

Least Common Multiple of 421,257,431 with GCF Formula

Least Common Multiple of 421,257,431 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 421,257,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,257,431) = 1

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

GCF(421,257,431) x common factors =1 x 1 = 1

LCM(421,257,431) = ( 421 × 257 × 431 ) / 1

LCM(421,257,431) = 46632907 / 1

LCM(421,257,431) = 46632907


Lets's calculate GCF of 34,52,319

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46632907/1

Therefore the LCM of Fractions 421/34,257/52,431/319 is 46632907

Greatest Common Factor of 34,52,319 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,52,319 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Greatest Common Factor

We found the factors 34,52,319 . The biggest common factor number is the GCF number.
So the greatest common factor 34,52,319 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 421/34, 257/52, 431/319

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 421/34, 257/52, 431/319?

Answer: LCM of Numerators as per given numbers 421/34, 257/52, 431/319 is

LCM of Numerators i.e. for 421,257,431 is 46632907

GCF of denominators i.e. for 34,52,319 is 1.

Thus, LCM of Fractions is 46632907.Finally, LCM of Fractions for 421/34, 257/52, 431/319 is 46632907.