Least Common Multiple of 1680/690, 7712/913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1680/690, 7712/913 quickly i.e. 809760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1680/690, 7712/913 is 809760.

LCM(1680/690, 7712/913) = 809760

LCM of 1680/690, 7712/913

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 1680/690,7712/913

Given numbers are 1680/690,7712/913

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 1680,7712

Least Common Multiple of Numerators i.e. LCM of 1680,7712 is 809760.

GCF of Denominators means GCF of 690,913 as per the given fractions.

GCF of 690,913 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1680,7712

LCM of Fractions 1680/690,7712/913 is 809760

2 1680, 7712
2 840, 3856
2 420, 1928
2 210, 964
105, 482

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 105 x 482 = 809760

Least Common Multiple of 1680,7712 with GCF Formula

Least Common Multiple of 1680,7712 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 1680,7712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1680,7712) = 16

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

GCF(1680,7712) x common factors =16 x 1 = 16

LCM(1680,7712) = ( 1680 × 7712 ) / 16

LCM(1680,7712) = 12956160 / 16

LCM(1680,7712) = 809760


Lets's calculate GCF of 690,913

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 809760/1

Therefore the LCM of Fractions 1680/690,7712/913 is 809760

Greatest Common Factor of 690,913 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,913 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Greatest Common Factor

We found the factors 690,913 . The biggest common factor number is the GCF number.
So the greatest common factor 690,913 is 1.


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 1680/690, 7712/913

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 1680/690, 7712/913?

Answer: LCM of Numerators as per given numbers 1680/690, 7712/913 is

LCM of Numerators i.e. for 1680,7712 is 809760

GCF of denominators i.e. for 690,913 is 1.

Thus, LCM of Fractions is 809760.Finally, LCM of Fractions for 1680/690, 7712/913 is 809760.