Least Common Multiple of 458/65, 351/66, 677/307

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 458/65, 351/66, 677/307 quickly i.e. 108833166 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 458/65, 351/66, 677/307 is 108833166.

LCM(458/65, 351/66, 677/307) = 108833166

LCM of 458/65, 351/66, 677/307

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 458/65,351/66,677/307

Given numbers are 458/65,351/66,677/307

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 458,351,677

Least Common Multiple of Numerators i.e. LCM of 458,351,677 is 108833166.

GCF of Denominators means GCF of 65,66,307 as per the given fractions.

GCF of 65,66,307 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 458,351,677

LCM of Fractions 458/65,351/66,677/307 is 108833166

Given numbers has no common factors except 1. So, there LCM is their product i.e 108833166

Least Common Multiple of 458,351,677 with GCF Formula

Least Common Multiple of 458,351,677 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 458,351,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,351,677) = 1

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

GCF(458,351,677) x common factors =1 x 1 = 1

LCM(458,351,677) = ( 458 × 351 × 677 ) / 1

LCM(458,351,677) = 108833166 / 1

LCM(458,351,677) = 108833166


Lets's calculate GCF of 65,66,307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108833166/1

Therefore the LCM of Fractions 458/65,351/66,677/307 is 108833166

Greatest Common Factor of 65,66,307 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,66,307 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Greatest Common Factor

We found the factors 65,66,307 . The biggest common factor number is the GCF number.
So the greatest common factor 65,66,307 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 458/65, 351/66, 677/307

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 458/65, 351/66, 677/307?

Answer: LCM of Numerators as per given numbers 458/65, 351/66, 677/307 is

LCM of Numerators i.e. for 458,351,677 is 108833166

GCF of denominators i.e. for 65,66,307 is 1.

Thus, LCM of Fractions is 108833166.Finally, LCM of Fractions for 458/65, 351/66, 677/307 is 108833166.