Least Common Multiple of 8407/992, 8370/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8407/992, 8370/464 quickly i.e. 70366590/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8407/992, 8370/464 is 70366590/16.

LCM(8407/992, 8370/464) = 70366590/16

LCM of 8407/992, 8370/464

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 8407/992,8370/464

Given numbers are 8407/992,8370/464

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 8407,8370

Least Common Multiple of Numerators i.e. LCM of 8407,8370 is 70366590.

GCF of Denominators means GCF of 992,464 as per the given fractions.

GCF of 992,464 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8407,8370

LCM of Fractions 8407/992,8370/464 is 70366590/16

Given numbers has no common factors except 1. So, there LCM is their product i.e 70366590

Least Common Multiple of 8407,8370 with GCF Formula

Least Common Multiple of 8407,8370 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 8407,8370 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8407,8370) = 1

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

GCF(8407,8370) x common factors =1 x 1 = 1

LCM(8407,8370) = ( 8407 × 8370 ) / 1

LCM(8407,8370) = 70366590 / 1

LCM(8407,8370) = 70366590


Lets's calculate GCF of 992,464

2 992, 464
2 496, 232
2 248, 116
2 124, 58
62, 29

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70366590/16

Therefore the LCM of Fractions 8407/992,8370/464 is 70366590/16

Greatest Common Factor of 992,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 992,464 By Matching Biggest Common Factor Method

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 992,464 . The biggest common factor number is the GCF number.
So the greatest common factor 992,464 is 16.


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 8407/992, 8370/464

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 8407/992, 8370/464?

Answer: LCM of Numerators as per given numbers 8407/992, 8370/464 is

LCM of Numerators i.e. for 8407,8370 is 70366590

GCF of denominators i.e. for 992,464 is 16.

Thus, LCM of Fractions is 70366590/16.Finally, LCM of Fractions for 8407/992, 8370/464 is 70366590/16.