Least Common Multiple of 83/191, 75/420, 407/358

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/191, 75/420, 407/358 quickly i.e. 2533575 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/191, 75/420, 407/358 is 2533575.

LCM(83/191, 75/420, 407/358) = 2533575

LCM of 83/191, 75/420, 407/358

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 83/191,75/420,407/358

Given numbers are 83/191,75/420,407/358

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 83,75,407

Least Common Multiple of Numerators i.e. LCM of 83,75,407 is 2533575.

GCF of Denominators means GCF of 191,420,358 as per the given fractions.

GCF of 191,420,358 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,75,407

LCM of Fractions 83/191,75/420,407/358 is 2533575

Given numbers has no common factors except 1. So, there LCM is their product i.e 2533575

Least Common Multiple of 83,75,407 with GCF Formula

Least Common Multiple of 83,75,407 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 83,75,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,75,407) = 1

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

GCF(83,75,407) x common factors =1 x 1 = 1

LCM(83,75,407) = ( 83 × 75 × 407 ) / 1

LCM(83,75,407) = 2533575 / 1

LCM(83,75,407) = 2533575


Lets's calculate GCF of 191,420,358

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2533575/1

Therefore the LCM of Fractions 83/191,75/420,407/358 is 2533575

Greatest Common Factor of 191,420,358 By Matching Biggest Common Factor Method

Greatest Common Factor of 191,420,358 By Matching Biggest Common Factor Method

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 358

List of positive integer factors of 358 that divides 358 without a remainder.

1,2,179,358

Greatest Common Factor

We found the factors 191,420,358 . The biggest common factor number is the GCF number.
So the greatest common factor 191,420,358 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 83/191, 75/420, 407/358

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 83/191, 75/420, 407/358?

Answer: LCM of Numerators as per given numbers 83/191, 75/420, 407/358 is

LCM of Numerators i.e. for 83,75,407 is 2533575

GCF of denominators i.e. for 191,420,358 is 1.

Thus, LCM of Fractions is 2533575.Finally, LCM of Fractions for 83/191, 75/420, 407/358 is 2533575.