Least Common Multiple of 5405/669, 8545/7117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5405/669, 8545/7117 quickly i.e. 9237145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5405/669, 8545/7117 is 9237145.

LCM(5405/669, 8545/7117) = 9237145

LCM of 5405/669, 8545/7117

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 5405/669,8545/7117

Given numbers are 5405/669,8545/7117

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 5405,8545

Least Common Multiple of Numerators i.e. LCM of 5405,8545 is 9237145.

GCF of Denominators means GCF of 669,7117 as per the given fractions.

GCF of 669,7117 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5405,8545

LCM of Fractions 5405/669,8545/7117 is 9237145

5 5405, 8545
1081, 1709

∴ So the LCM of the given numbers is 5 x 1081 x 1709 = 9237145

Least Common Multiple of 5405,8545 with GCF Formula

Least Common Multiple of 5405,8545 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 5405,8545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5405,8545) = 5

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

GCF(5405,8545) x common factors =5 x 1 = 5

LCM(5405,8545) = ( 5405 × 8545 ) / 5

LCM(5405,8545) = 46185725 / 5

LCM(5405,8545) = 9237145


Lets's calculate GCF of 669,7117

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9237145/1

Therefore the LCM of Fractions 5405/669,8545/7117 is 9237145

Greatest Common Factor of 669,7117 By Matching Biggest Common Factor Method

Greatest Common Factor of 669,7117 By Matching Biggest Common Factor Method

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Factors of 7117

List of positive integer factors of 7117 that divides 7117 without a remainder.

1,11,647,7117

Greatest Common Factor

We found the factors 669,7117 . The biggest common factor number is the GCF number.
So the greatest common factor 669,7117 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 5405/669, 8545/7117

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 5405/669, 8545/7117?

Answer: LCM of Numerators as per given numbers 5405/669, 8545/7117 is

LCM of Numerators i.e. for 5405,8545 is 9237145

GCF of denominators i.e. for 669,7117 is 1.

Thus, LCM of Fractions is 9237145.Finally, LCM of Fractions for 5405/669, 8545/7117 is 9237145.