Least Common Multiple of 712/80, 970/6680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 712/80, 970/6680 quickly i.e. 8633 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 712/80, 970/6680 is 8633.

LCM(712/80, 970/6680) = 8633

LCM of 712/80, 970/6680

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 712/80,970/6680

Given numbers are 712/80,970/6680

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 712,970

Least Common Multiple of Numerators i.e. LCM of 712,970 is 345320.

GCF of Denominators means GCF of 80,6680 as per the given fractions.

GCF of 80,6680 is 40 as it is the largest common factor for these numbers.

Lets's calculate LCM of 712,970

LCM of Fractions 712/80,970/6680 is 8633

2 712, 970
356, 485

∴ So the LCM of the given numbers is 2 x 356 x 485 = 345320

Least Common Multiple of 712,970 with GCF Formula

Least Common Multiple of 712,970 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 712,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,970) = 2

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

GCF(712,970) x common factors =2 x 1 = 2

LCM(712,970) = ( 712 × 970 ) / 2

LCM(712,970) = 690640 / 2

LCM(712,970) = 345320


Lets's calculate GCF of 80,6680

2 80, 6680
2 40, 3340
2 20, 1670
5 10, 835
2, 167

∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 345320/40

Therefore the LCM of Fractions 712/80,970/6680 is 8633

Greatest Common Factor of 80,6680 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,6680 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 6680

List of positive integer factors of 6680 that divides 6680 without a remainder.

1,2,4,5,8,10,20,40,167,334,668,835,1336,1670,3340,6680

Greatest Common Factor

We found the factors 80,6680 . The biggest common factor number is the GCF number.
So the greatest common factor 80,6680 is 40.


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 712/80, 970/6680

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 712/80, 970/6680?

Answer: LCM of Numerators as per given numbers 712/80, 970/6680 is

LCM of Numerators i.e. for 712,970 is 345320

GCF of denominators i.e. for 80,6680 is 40.

Thus, LCM of Fractions is 8633.Finally, LCM of Fractions for 712/80, 970/6680 is 8633.