Least Common Multiple of 665/69, 761/6164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 665/69, 761/6164 quickly i.e. 506065/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 665/69, 761/6164 is 506065/23.

LCM(665/69, 761/6164) = 506065/23

LCM of 665/69, 761/6164

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 665/69,761/6164

Given numbers are 665/69,761/6164

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 665,761

Least Common Multiple of Numerators i.e. LCM of 665,761 is 506065.

GCF of Denominators means GCF of 69,6164 as per the given fractions.

GCF of 69,6164 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 665,761

LCM of Fractions 665/69,761/6164 is 506065/23

Given numbers has no common factors except 1. So, there LCM is their product i.e 506065

Least Common Multiple of 665,761 with GCF Formula

Least Common Multiple of 665,761 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 665,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(665,761) = 1

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

GCF(665,761) x common factors =1 x 1 = 1

LCM(665,761) = ( 665 × 761 ) / 1

LCM(665,761) = 506065 / 1

LCM(665,761) = 506065


Lets's calculate GCF of 69,6164

23 69, 6164
3, 268

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 506065/23

Therefore the LCM of Fractions 665/69,761/6164 is 506065/23

Greatest Common Factor of 69,6164 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,6164 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 6164

List of positive integer factors of 6164 that divides 6164 without a remainder.

1,2,4,23,46,67,92,134,268,1541,3082,6164

Greatest Common Factor

We found the factors 69,6164 . The biggest common factor number is the GCF number.
So the greatest common factor 69,6164 is 23.


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 665/69, 761/6164

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 665/69, 761/6164?

Answer: LCM of Numerators as per given numbers 665/69, 761/6164 is

LCM of Numerators i.e. for 665,761 is 506065

GCF of denominators i.e. for 69,6164 is 23.

Thus, LCM of Fractions is 506065/23.Finally, LCM of Fractions for 665/69, 761/6164 is 506065/23.