Least Common Multiple of 95/678, 92/433, 387/600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/678, 92/433, 387/600 quickly i.e. 3382380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/678, 92/433, 387/600 is 3382380.

LCM(95/678, 92/433, 387/600) = 3382380

LCM of 95/678, 92/433, 387/600

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 95/678,92/433,387/600

Given numbers are 95/678,92/433,387/600

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 95,92,387

Least Common Multiple of Numerators i.e. LCM of 95,92,387 is 3382380.

GCF of Denominators means GCF of 678,433,600 as per the given fractions.

GCF of 678,433,600 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,92,387

LCM of Fractions 95/678,92/433,387/600 is 3382380

Given numbers has no common factors except 1. So, there LCM is their product i.e 3382380

Least Common Multiple of 95,92,387 with GCF Formula

Least Common Multiple of 95,92,387 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 95,92,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,92,387) = 1

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

GCF(95,92,387) x common factors =1 x 1 = 1

LCM(95,92,387) = ( 95 × 92 × 387 ) / 1

LCM(95,92,387) = 3382380 / 1

LCM(95,92,387) = 3382380


Lets's calculate GCF of 678,433,600

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3382380/1

Therefore the LCM of Fractions 95/678,92/433,387/600 is 3382380

Greatest Common Factor of 678,433,600 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,433,600 By Matching Biggest Common Factor Method

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 433

List of positive integer factors of 433 that divides 433 without a remainder.

1,433

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors 678,433,600 . The biggest common factor number is the GCF number.
So the greatest common factor 678,433,600 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 95/678, 92/433, 387/600

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 95/678, 92/433, 387/600?

Answer: LCM of Numerators as per given numbers 95/678, 92/433, 387/600 is

LCM of Numerators i.e. for 95,92,387 is 3382380

GCF of denominators i.e. for 678,433,600 is 1.

Thus, LCM of Fractions is 3382380.Finally, LCM of Fractions for 95/678, 92/433, 387/600 is 3382380.