Least Common Multiple of 746/72, 455/3422

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 746/72, 455/3422 quickly i.e. 169715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 746/72, 455/3422 is 169715.

LCM(746/72, 455/3422) = 169715

LCM of 746/72, 455/3422

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 746/72,455/3422

Given numbers are 746/72,455/3422

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 746,455

Least Common Multiple of Numerators i.e. LCM of 746,455 is 339430.

GCF of Denominators means GCF of 72,3422 as per the given fractions.

GCF of 72,3422 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 746,455

LCM of Fractions 746/72,455/3422 is 169715

Given numbers has no common factors except 1. So, there LCM is their product i.e 339430

Least Common Multiple of 746,455 with GCF Formula

Least Common Multiple of 746,455 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 746,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(746,455) = 1

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

GCF(746,455) x common factors =1 x 1 = 1

LCM(746,455) = ( 746 × 455 ) / 1

LCM(746,455) = 339430 / 1

LCM(746,455) = 339430


Lets's calculate GCF of 72,3422

2 72, 3422
36, 1711

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 339430/2

Therefore the LCM of Fractions 746/72,455/3422 is 169715

Greatest Common Factor of 72,3422 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,3422 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 3422

List of positive integer factors of 3422 that divides 3422 without a remainder.

1,2,29,58,59,118,1711,3422

Greatest Common Factor

We found the factors 72,3422 . The biggest common factor number is the GCF number.
So the greatest common factor 72,3422 is 2.


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 746/72, 455/3422

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 746/72, 455/3422?

Answer: LCM of Numerators as per given numbers 746/72, 455/3422 is

LCM of Numerators i.e. for 746,455 is 339430

GCF of denominators i.e. for 72,3422 is 2.

Thus, LCM of Fractions is 169715.Finally, LCM of Fractions for 746/72, 455/3422 is 169715.