Least Common Multiple of 698/770, 6443/583

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 698/770, 6443/583 quickly i.e. 4497214/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 698/770, 6443/583 is 4497214/11.

LCM(698/770, 6443/583) = 4497214/11

LCM of 698/770, 6443/583

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 698/770,6443/583

Given numbers are 698/770,6443/583

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 698,6443

Least Common Multiple of Numerators i.e. LCM of 698,6443 is 4497214.

GCF of Denominators means GCF of 770,583 as per the given fractions.

GCF of 770,583 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 698,6443

LCM of Fractions 698/770,6443/583 is 4497214/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 4497214

Least Common Multiple of 698,6443 with GCF Formula

Least Common Multiple of 698,6443 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 698,6443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,6443) = 1

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

GCF(698,6443) x common factors =1 x 1 = 1

LCM(698,6443) = ( 698 × 6443 ) / 1

LCM(698,6443) = 4497214 / 1

LCM(698,6443) = 4497214


Lets's calculate GCF of 770,583

11 770, 583
70, 53

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4497214/11

Therefore the LCM of Fractions 698/770,6443/583 is 4497214/11

Greatest Common Factor of 770,583 By Matching Biggest Common Factor Method

Greatest Common Factor of 770,583 By Matching Biggest Common Factor Method

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Greatest Common Factor

We found the factors 770,583 . The biggest common factor number is the GCF number.
So the greatest common factor 770,583 is 11.


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 698/770, 6443/583

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 698/770, 6443/583?

Answer: LCM of Numerators as per given numbers 698/770, 6443/583 is

LCM of Numerators i.e. for 698,6443 is 4497214

GCF of denominators i.e. for 770,583 is 11.

Thus, LCM of Fractions is 4497214/11.Finally, LCM of Fractions for 698/770, 6443/583 is 4497214/11.