Least Common Multiple of 8672/206, 7160/4070

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8672/206, 7160/4070 quickly i.e. 3880720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8672/206, 7160/4070 is 3880720.

LCM(8672/206, 7160/4070) = 3880720

LCM of 8672/206, 7160/4070

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 8672/206,7160/4070

Given numbers are 8672/206,7160/4070

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 8672,7160

Least Common Multiple of Numerators i.e. LCM of 8672,7160 is 7761440.

GCF of Denominators means GCF of 206,4070 as per the given fractions.

GCF of 206,4070 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8672,7160

LCM of Fractions 8672/206,7160/4070 is 3880720

2 8672, 7160
2 4336, 3580
2 2168, 1790
1084, 895

∴ So the LCM of the given numbers is 2 x 2 x 2 x 1084 x 895 = 7761440

Least Common Multiple of 8672,7160 with GCF Formula

Least Common Multiple of 8672,7160 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 8672,7160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8672,7160) = 8

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

GCF(8672,7160) x common factors =8 x 1 = 8

LCM(8672,7160) = ( 8672 × 7160 ) / 8

LCM(8672,7160) = 62091520 / 8

LCM(8672,7160) = 7761440


Lets's calculate GCF of 206,4070

2 206, 4070
103, 2035

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7761440/2

Therefore the LCM of Fractions 8672/206,7160/4070 is 3880720

Greatest Common Factor of 206,4070 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,4070 By Matching Biggest Common Factor Method

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 4070

List of positive integer factors of 4070 that divides 4070 without a remainder.

1,2,5,10,11,22,37,55,74,110,185,370,407,814,2035,4070

Greatest Common Factor

We found the factors 206,4070 . The biggest common factor number is the GCF number.
So the greatest common factor 206,4070 is 2.


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 8672/206, 7160/4070

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 8672/206, 7160/4070?

Answer: LCM of Numerators as per given numbers 8672/206, 7160/4070 is

LCM of Numerators i.e. for 8672,7160 is 7761440

GCF of denominators i.e. for 206,4070 is 2.

Thus, LCM of Fractions is 3880720.Finally, LCM of Fractions for 8672/206, 7160/4070 is 3880720.