Least Common Multiple of 5646/100, 8670/6105

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5646/100, 8670/6105 quickly i.e. 1631694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5646/100, 8670/6105 is 1631694.

LCM(5646/100, 8670/6105) = 1631694

LCM of 5646/100, 8670/6105

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 5646/100,8670/6105

Given numbers are 5646/100,8670/6105

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 5646,8670

Least Common Multiple of Numerators i.e. LCM of 5646,8670 is 8158470.

GCF of Denominators means GCF of 100,6105 as per the given fractions.

GCF of 100,6105 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5646,8670

LCM of Fractions 5646/100,8670/6105 is 1631694

2 5646, 8670
3 2823, 4335
941, 1445

∴ So the LCM of the given numbers is 2 x 3 x 941 x 1445 = 8158470

Least Common Multiple of 5646,8670 with GCF Formula

Least Common Multiple of 5646,8670 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 5646,8670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5646,8670) = 6

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

GCF(5646,8670) x common factors =6 x 1 = 6

LCM(5646,8670) = ( 5646 × 8670 ) / 6

LCM(5646,8670) = 48950820 / 6

LCM(5646,8670) = 8158470


Lets's calculate GCF of 100,6105

5 100, 6105
20, 1221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8158470/5

Therefore the LCM of Fractions 5646/100,8670/6105 is 1631694

Greatest Common Factor of 100,6105 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,6105 By Matching Biggest Common Factor Method

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 6105

List of positive integer factors of 6105 that divides 6105 without a remainder.

1,3,5,11,15,33,37,55,111,165,185,407,555,1221,2035,6105

Greatest Common Factor

We found the factors 100,6105 . The biggest common factor number is the GCF number.
So the greatest common factor 100,6105 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 5646/100, 8670/6105

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 5646/100, 8670/6105?

Answer: LCM of Numerators as per given numbers 5646/100, 8670/6105 is

LCM of Numerators i.e. for 5646,8670 is 8158470

GCF of denominators i.e. for 100,6105 is 5.

Thus, LCM of Fractions is 1631694.Finally, LCM of Fractions for 5646/100, 8670/6105 is 1631694.