Least Common Multiple of 357/14, 268/85, 421/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 357/14, 268/85, 421/412 quickly i.e. 40279596 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 357/14, 268/85, 421/412 is 40279596.

LCM(357/14, 268/85, 421/412) = 40279596

LCM of 357/14, 268/85, 421/412

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 357/14,268/85,421/412

Given numbers are 357/14,268/85,421/412

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 357,268,421

Least Common Multiple of Numerators i.e. LCM of 357,268,421 is 40279596.

GCF of Denominators means GCF of 14,85,412 as per the given fractions.

GCF of 14,85,412 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 357,268,421

LCM of Fractions 357/14,268/85,421/412 is 40279596

Given numbers has no common factors except 1. So, there LCM is their product i.e 40279596

Least Common Multiple of 357,268,421 with GCF Formula

Least Common Multiple of 357,268,421 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 357,268,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(357,268,421) = 1

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

GCF(357,268,421) x common factors =1 x 1 = 1

LCM(357,268,421) = ( 357 × 268 × 421 ) / 1

LCM(357,268,421) = 40279596 / 1

LCM(357,268,421) = 40279596


Lets's calculate GCF of 14,85,412

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40279596/1

Therefore the LCM of Fractions 357/14,268/85,421/412 is 40279596

Greatest Common Factor of 14,85,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,85,412 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 14,85,412 . The biggest common factor number is the GCF number.
So the greatest common factor 14,85,412 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 357/14, 268/85, 421/412

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 357/14, 268/85, 421/412?

Answer: LCM of Numerators as per given numbers 357/14, 268/85, 421/412 is

LCM of Numerators i.e. for 357,268,421 is 40279596

GCF of denominators i.e. for 14,85,412 is 1.

Thus, LCM of Fractions is 40279596.Finally, LCM of Fractions for 357/14, 268/85, 421/412 is 40279596.