Least Common Multiple of 83/284, 851/791, 782/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/284, 851/791, 782/670 quickly i.e. 2401522 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/284, 851/791, 782/670 is 2401522.

LCM(83/284, 851/791, 782/670) = 2401522

LCM of 83/284, 851/791, 782/670

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 83/284,851/791,782/670

Given numbers are 83/284,851/791,782/670

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 83,851,782

Least Common Multiple of Numerators i.e. LCM of 83,851,782 is 2401522.

GCF of Denominators means GCF of 284,791,670 as per the given fractions.

GCF of 284,791,670 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,851,782

LCM of Fractions 83/284,851/791,782/670 is 2401522

23 83, 851, 782
83, 37, 34

∴ So the LCM of the given numbers is 23 x 83 x 37 x 34 = 2401522

Least Common Multiple of 83,851,782 with GCF Formula

Least Common Multiple of 83,851,782 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 83,851,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,851,782) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(83,851,782) x common factors =1 x 23 = 23

LCM(83,851,782) = ( 83 × 851 × 782 ) / 23

LCM(83,851,782) = 55235006 / 23

LCM(83,851,782) = 2401522


Lets's calculate GCF of 284,791,670

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2401522/1

Therefore the LCM of Fractions 83/284,851/791,782/670 is 2401522

Greatest Common Factor of 284,791,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 284,791,670 By Matching Biggest Common Factor Method

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 284,791,670 . The biggest common factor number is the GCF number.
So the greatest common factor 284,791,670 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 83/284, 851/791, 782/670

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 83/284, 851/791, 782/670?

Answer: LCM of Numerators as per given numbers 83/284, 851/791, 782/670 is

LCM of Numerators i.e. for 83,851,782 is 2401522

GCF of denominators i.e. for 284,791,670 is 1.

Thus, LCM of Fractions is 2401522.Finally, LCM of Fractions for 83/284, 851/791, 782/670 is 2401522.