Least Common Multiple of 736/64, 454/65, 398/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 736/64, 454/65, 398/654 quickly i.e. 33247328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 736/64, 454/65, 398/654 is 33247328.

LCM(736/64, 454/65, 398/654) = 33247328

LCM of 736/64, 454/65, 398/654

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 736/64,454/65,398/654

Given numbers are 736/64,454/65,398/654

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 736,454,398

Least Common Multiple of Numerators i.e. LCM of 736,454,398 is 33247328.

GCF of Denominators means GCF of 64,65,654 as per the given fractions.

GCF of 64,65,654 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 736,454,398

LCM of Fractions 736/64,454/65,398/654 is 33247328

2 736, 454, 398
368, 227, 199

∴ So the LCM of the given numbers is 2 x 368 x 227 x 199 = 33247328

Least Common Multiple of 736,454,398 with GCF Formula

Least Common Multiple of 736,454,398 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 736,454,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,454,398) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(736,454,398) x common factors =2 x 2 = 4

LCM(736,454,398) = ( 736 × 454 × 398 ) / 4

LCM(736,454,398) = 132989312 / 4

LCM(736,454,398) = 33247328


Lets's calculate GCF of 64,65,654

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33247328/1

Therefore the LCM of Fractions 736/64,454/65,398/654 is 33247328

Greatest Common Factor of 64,65,654 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,65,654 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 65

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

1,5,13,65

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Greatest Common Factor

We found the factors 64,65,654 . The biggest common factor number is the GCF number.
So the greatest common factor 64,65,654 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 736/64, 454/65, 398/654

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 736/64, 454/65, 398/654?

Answer: LCM of Numerators as per given numbers 736/64, 454/65, 398/654 is

LCM of Numerators i.e. for 736,454,398 is 33247328

GCF of denominators i.e. for 64,65,654 is 1.

Thus, LCM of Fractions is 33247328.Finally, LCM of Fractions for 736/64, 454/65, 398/654 is 33247328.