Least Common Multiple of 8430/794, 8426/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8430/794, 8426/690 quickly i.e. 17757795 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8430/794, 8426/690 is 17757795.

LCM(8430/794, 8426/690) = 17757795

LCM of 8430/794, 8426/690

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 8430/794,8426/690

Given numbers are 8430/794,8426/690

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 8430,8426

Least Common Multiple of Numerators i.e. LCM of 8430,8426 is 35515590.

GCF of Denominators means GCF of 794,690 as per the given fractions.

GCF of 794,690 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8430,8426

LCM of Fractions 8430/794,8426/690 is 17757795

2 8430, 8426
4215, 4213

∴ So the LCM of the given numbers is 2 x 4215 x 4213 = 35515590

Least Common Multiple of 8430,8426 with GCF Formula

Least Common Multiple of 8430,8426 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 8430,8426 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8430,8426) = 2

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

GCF(8430,8426) x common factors =2 x 1 = 2

LCM(8430,8426) = ( 8430 × 8426 ) / 2

LCM(8430,8426) = 71031180 / 2

LCM(8430,8426) = 35515590


Lets's calculate GCF of 794,690

2 794, 690
397, 345

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35515590/2

Therefore the LCM of Fractions 8430/794,8426/690 is 17757795

Greatest Common Factor of 794,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 794,690 By Matching Biggest Common Factor Method

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

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

Greatest Common Factor

We found the factors 794,690 . The biggest common factor number is the GCF number.
So the greatest common factor 794,690 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8430/794, 8426/690

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 8430/794, 8426/690?

Answer: LCM of Numerators as per given numbers 8430/794, 8426/690 is

LCM of Numerators i.e. for 8430,8426 is 35515590

GCF of denominators i.e. for 794,690 is 2.

Thus, LCM of Fractions is 17757795.Finally, LCM of Fractions for 8430/794, 8426/690 is 17757795.