Least Common Multiple of 7002/860, 6855/407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7002/860, 6855/407 quickly i.e. 15999570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7002/860, 6855/407 is 15999570.

LCM(7002/860, 6855/407) = 15999570

LCM of 7002/860, 6855/407

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 7002/860,6855/407

Given numbers are 7002/860,6855/407

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 7002,6855

Least Common Multiple of Numerators i.e. LCM of 7002,6855 is 15999570.

GCF of Denominators means GCF of 860,407 as per the given fractions.

GCF of 860,407 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7002,6855

LCM of Fractions 7002/860,6855/407 is 15999570

3 7002, 6855
2334, 2285

∴ So the LCM of the given numbers is 3 x 2334 x 2285 = 15999570

Least Common Multiple of 7002,6855 with GCF Formula

Least Common Multiple of 7002,6855 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 7002,6855 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7002,6855) = 3

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

GCF(7002,6855) x common factors =3 x 1 = 3

LCM(7002,6855) = ( 7002 × 6855 ) / 3

LCM(7002,6855) = 47998710 / 3

LCM(7002,6855) = 15999570


Lets's calculate GCF of 860,407

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15999570/1

Therefore the LCM of Fractions 7002/860,6855/407 is 15999570

Greatest Common Factor of 860,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,407 By Matching Biggest Common Factor Method

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Greatest Common Factor

We found the factors 860,407 . The biggest common factor number is the GCF number.
So the greatest common factor 860,407 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7002/860, 6855/407

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 7002/860, 6855/407?

Answer: LCM of Numerators as per given numbers 7002/860, 6855/407 is

LCM of Numerators i.e. for 7002,6855 is 15999570

GCF of denominators i.e. for 860,407 is 1.

Thus, LCM of Fractions is 15999570.Finally, LCM of Fractions for 7002/860, 6855/407 is 15999570.