Least Common Multiple of 5986/725, 8490/4310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5986/725, 8490/4310 quickly i.e. 5082114 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5986/725, 8490/4310 is 5082114.

LCM(5986/725, 8490/4310) = 5082114

LCM of 5986/725, 8490/4310

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 5986/725,8490/4310

Given numbers are 5986/725,8490/4310

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 5986,8490

Least Common Multiple of Numerators i.e. LCM of 5986,8490 is 25410570.

GCF of Denominators means GCF of 725,4310 as per the given fractions.

GCF of 725,4310 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5986,8490

LCM of Fractions 5986/725,8490/4310 is 5082114

2 5986, 8490
2993, 4245

∴ So the LCM of the given numbers is 2 x 2993 x 4245 = 25410570

Least Common Multiple of 5986,8490 with GCF Formula

Least Common Multiple of 5986,8490 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 5986,8490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5986,8490) = 2

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

GCF(5986,8490) x common factors =2 x 1 = 2

LCM(5986,8490) = ( 5986 × 8490 ) / 2

LCM(5986,8490) = 50821140 / 2

LCM(5986,8490) = 25410570


Lets's calculate GCF of 725,4310

5 725, 4310
145, 862

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25410570/5

Therefore the LCM of Fractions 5986/725,8490/4310 is 5082114

Greatest Common Factor of 725,4310 By Matching Biggest Common Factor Method

Greatest Common Factor of 725,4310 By Matching Biggest Common Factor Method

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 4310

List of positive integer factors of 4310 that divides 4310 without a remainder.

1,2,5,10,431,862,2155,4310

Greatest Common Factor

We found the factors 725,4310 . The biggest common factor number is the GCF number.
So the greatest common factor 725,4310 is 5.


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 5986/725, 8490/4310

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 5986/725, 8490/4310?

Answer: LCM of Numerators as per given numbers 5986/725, 8490/4310 is

LCM of Numerators i.e. for 5986,8490 is 25410570

GCF of denominators i.e. for 725,4310 is 5.

Thus, LCM of Fractions is 5082114.Finally, LCM of Fractions for 5986/725, 8490/4310 is 5082114.