Least Common Multiple of 8406/672, 7593/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8406/672, 7593/700 quickly i.e. 21275586/28 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8406/672, 7593/700 is 21275586/28.

LCM(8406/672, 7593/700) = 21275586/28

LCM of 8406/672, 7593/700

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 8406/672,7593/700

Given numbers are 8406/672,7593/700

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 8406,7593

Least Common Multiple of Numerators i.e. LCM of 8406,7593 is 21275586.

GCF of Denominators means GCF of 672,700 as per the given fractions.

GCF of 672,700 is 28 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8406,7593

LCM of Fractions 8406/672,7593/700 is 21275586/28

3 8406, 7593
2802, 2531

∴ So the LCM of the given numbers is 3 x 2802 x 2531 = 21275586

Least Common Multiple of 8406,7593 with GCF Formula

Least Common Multiple of 8406,7593 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 8406,7593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8406,7593) = 3

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

GCF(8406,7593) x common factors =3 x 1 = 3

LCM(8406,7593) = ( 8406 × 7593 ) / 3

LCM(8406,7593) = 63826758 / 3

LCM(8406,7593) = 21275586


Lets's calculate GCF of 672,700

2 672, 700
2 336, 350
7 168, 175
24, 25

∴ So the GCF of the given numbers is 2 x 2 x 7 = 28

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21275586/28

Therefore the LCM of Fractions 8406/672,7593/700 is 21275586/28

Greatest Common Factor of 672,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 672,700 By Matching Biggest Common Factor Method

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 672,700 . The biggest common factor number is the GCF number.
So the greatest common factor 672,700 is 28.


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 8406/672, 7593/700

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 8406/672, 7593/700?

Answer: LCM of Numerators as per given numbers 8406/672, 7593/700 is

LCM of Numerators i.e. for 8406,7593 is 21275586

GCF of denominators i.e. for 672,700 is 28.

Thus, LCM of Fractions is 21275586/28.Finally, LCM of Fractions for 8406/672, 7593/700 is 21275586/28.