Least Common Multiple of 658/64, 434/7077

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 658/64, 434/7077 quickly i.e. 20398 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 658/64, 434/7077 is 20398.

LCM(658/64, 434/7077) = 20398

LCM of 658/64, 434/7077

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 658/64,434/7077

Given numbers are 658/64,434/7077

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 658,434

Least Common Multiple of Numerators i.e. LCM of 658,434 is 20398.

GCF of Denominators means GCF of 64,7077 as per the given fractions.

GCF of 64,7077 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 658,434

LCM of Fractions 658/64,434/7077 is 20398

2 658, 434
7 329, 217
47, 31

∴ So the LCM of the given numbers is 2 x 7 x 47 x 31 = 20398

Least Common Multiple of 658,434 with GCF Formula

Least Common Multiple of 658,434 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 658,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(658,434) = 14

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

GCF(658,434) x common factors =14 x 1 = 14

LCM(658,434) = ( 658 × 434 ) / 14

LCM(658,434) = 285572 / 14

LCM(658,434) = 20398


Lets's calculate GCF of 64,7077

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20398/1

Therefore the LCM of Fractions 658/64,434/7077 is 20398

Greatest Common Factor of 64,7077 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,7077 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 7077

List of positive integer factors of 7077 that divides 7077 without a remainder.

1,3,7,21,337,1011,2359,7077

Greatest Common Factor

We found the factors 64,7077 . The biggest common factor number is the GCF number.
So the greatest common factor 64,7077 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 658/64, 434/7077

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 658/64, 434/7077?

Answer: LCM of Numerators as per given numbers 658/64, 434/7077 is

LCM of Numerators i.e. for 658,434 is 20398

GCF of denominators i.e. for 64,7077 is 1.

Thus, LCM of Fractions is 20398.Finally, LCM of Fractions for 658/64, 434/7077 is 20398.