Least Common Multiple of 7220/865, 2578/6786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7220/865, 2578/6786 quickly i.e. 9306580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7220/865, 2578/6786 is 9306580.

LCM(7220/865, 2578/6786) = 9306580

LCM of 7220/865, 2578/6786

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 7220/865,2578/6786

Given numbers are 7220/865,2578/6786

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 7220,2578

Least Common Multiple of Numerators i.e. LCM of 7220,2578 is 9306580.

GCF of Denominators means GCF of 865,6786 as per the given fractions.

GCF of 865,6786 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7220,2578

LCM of Fractions 7220/865,2578/6786 is 9306580

2 7220, 2578
3610, 1289

∴ So the LCM of the given numbers is 2 x 3610 x 1289 = 9306580

Least Common Multiple of 7220,2578 with GCF Formula

Least Common Multiple of 7220,2578 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 7220,2578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7220,2578) = 2

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

GCF(7220,2578) x common factors =2 x 1 = 2

LCM(7220,2578) = ( 7220 × 2578 ) / 2

LCM(7220,2578) = 18613160 / 2

LCM(7220,2578) = 9306580


Lets's calculate GCF of 865,6786

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9306580/1

Therefore the LCM of Fractions 7220/865,2578/6786 is 9306580

Greatest Common Factor of 865,6786 By Matching Biggest Common Factor Method

Greatest Common Factor of 865,6786 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 6786

List of positive integer factors of 6786 that divides 6786 without a remainder.

1,2,3,6,9,13,18,26,29,39,58,78,87,117,174,234,261,377,522,754,1131,2262,3393,6786

Greatest Common Factor

We found the factors 865,6786 . The biggest common factor number is the GCF number.
So the greatest common factor 865,6786 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 7220/865, 2578/6786

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 7220/865, 2578/6786?

Answer: LCM of Numerators as per given numbers 7220/865, 2578/6786 is

LCM of Numerators i.e. for 7220,2578 is 9306580

GCF of denominators i.e. for 865,6786 is 1.

Thus, LCM of Fractions is 9306580.Finally, LCM of Fractions for 7220/865, 2578/6786 is 9306580.