Least Common Multiple of 802/865, 632/690, 622/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 802/865, 632/690, 622/415 quickly i.e. 78817352/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 802/865, 632/690, 622/415 is 78817352/5.

LCM(802/865, 632/690, 622/415) = 78817352/5

LCM of 802/865, 632/690, 622/415

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 802/865,632/690,622/415

Given numbers are 802/865,632/690,622/415

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 802,632,622

Least Common Multiple of Numerators i.e. LCM of 802,632,622 is 78817352.

GCF of Denominators means GCF of 865,690,415 as per the given fractions.

GCF of 865,690,415 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 802,632,622

LCM of Fractions 802/865,632/690,622/415 is 78817352/5

2 802, 632, 622
401, 316, 311

∴ So the LCM of the given numbers is 2 x 401 x 316 x 311 = 78817352

Least Common Multiple of 802,632,622 with GCF Formula

Least Common Multiple of 802,632,622 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 802,632,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(802,632,622) = 2

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

GCF(802,632,622) x common factors =2 x 2 = 4

LCM(802,632,622) = ( 802 × 632 × 622 ) / 4

LCM(802,632,622) = 315269408 / 4

LCM(802,632,622) = 78817352


Lets's calculate GCF of 865,690,415

5 865, 690, 415
173, 138, 83

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78817352/5

Therefore the LCM of Fractions 802/865,632/690,622/415 is 78817352/5

Greatest Common Factor of 865,690,415 By Matching Biggest Common Factor Method

Greatest Common Factor of 865,690,415 By Matching Biggest Common Factor Method

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Greatest Common Factor

We found the factors 865,690,415 . The biggest common factor number is the GCF number.
So the greatest common factor 865,690,415 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 802/865, 632/690, 622/415

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 802/865, 632/690, 622/415?

Answer: LCM of Numerators as per given numbers 802/865, 632/690, 622/415 is

LCM of Numerators i.e. for 802,632,622 is 78817352

GCF of denominators i.e. for 865,690,415 is 5.

Thus, LCM of Fractions is 78817352/5.Finally, LCM of Fractions for 802/865, 632/690, 622/415 is 78817352/5.