Least Common Multiple of 82/701, 516/361, 890/628

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/701, 516/361, 890/628 quickly i.e. 9414420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/701, 516/361, 890/628 is 9414420.

LCM(82/701, 516/361, 890/628) = 9414420

LCM of 82/701, 516/361, 890/628

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 82/701,516/361,890/628

Given numbers are 82/701,516/361,890/628

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 82,516,890

Least Common Multiple of Numerators i.e. LCM of 82,516,890 is 9414420.

GCF of Denominators means GCF of 701,361,628 as per the given fractions.

GCF of 701,361,628 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,516,890

LCM of Fractions 82/701,516/361,890/628 is 9414420

2 82, 516, 890
41, 258, 445

∴ So the LCM of the given numbers is 2 x 41 x 258 x 445 = 9414420

Least Common Multiple of 82,516,890 with GCF Formula

Least Common Multiple of 82,516,890 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 82,516,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,516,890) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(82,516,890) x common factors =2 x 2 = 4

LCM(82,516,890) = ( 82 × 516 × 890 ) / 4

LCM(82,516,890) = 37657680 / 4

LCM(82,516,890) = 9414420


Lets's calculate GCF of 701,361,628

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9414420/1

Therefore the LCM of Fractions 82/701,516/361,890/628 is 9414420

Greatest Common Factor of 701,361,628 By Matching Biggest Common Factor Method

Greatest Common Factor of 701,361,628 By Matching Biggest Common Factor Method

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Greatest Common Factor

We found the factors 701,361,628 . The biggest common factor number is the GCF number.
So the greatest common factor 701,361,628 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 82/701, 516/361, 890/628

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 82/701, 516/361, 890/628?

Answer: LCM of Numerators as per given numbers 82/701, 516/361, 890/628 is

LCM of Numerators i.e. for 82,516,890 is 9414420

GCF of denominators i.e. for 701,361,628 is 1.

Thus, LCM of Fractions is 9414420.Finally, LCM of Fractions for 82/701, 516/361, 890/628 is 9414420.