Least Common Multiple of 460, 726, 313, 174, 495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 460, 726, 313, 174, 495 i.e. 4547032380 smallest integer divisible by all numbers.

Least common multiple (LCM) of 460, 726, 313, 174, 495 is 4547032380.

LCM(460, 726, 313, 174, 495) = 4547032380

LCM of 460, 726, 313, 174, 495

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 460,726,313,174,495

Least Common Multiple (LCM) of 460,726,313,174,495 is 4547032380

2 460, 726, 313, 174, 495
3 230, 363, 313, 87, 495
5 230, 121, 313, 29, 165
11 46, 121, 313, 29, 33
46, 11, 313, 29, 3

∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 46 x 11 x 313 x 29 x 3 = 4547032380

Least Common Multiple of 460,726,313,174,495 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 460,726,313,174,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,726,313,174,495) = 1

common factors(in case of two or more numbers have common factors) = 1980

GCF(460,726,313,174,495) x common factors =1 x 1980 = 1980

LCM(460,726,313,174,495) = ( 460 × 726 × 313 × 174 × 495 ) / 1980

LCM(460,726,313,174,495) = 9003124112400 / 1980

LCM(460,726,313,174,495) = 4547032380

∴ Least Common Multiple of 460,726,313,174,495 is 4547032380

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 460, 726, 313, 174, 495

1. What is the LCM of 460, 726, 313, 174, 495?

Answer: LCM of 460, 726, 313, 174, 495 is 4547032380.

2. What are the Factors of 4547032380?

Answer: Factors of 4547032380 are . There are integers that are factors of 4547032380

3. How to Find the LCM of 460, 726, 313, 174, 495 ?

Least Common Multiple of 460, 726, 313, 174, 495.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(460, 726, 313, 174, 495) = 2 x 2 x 3 x 3 x 5 x 11 x 11 x 23 x 29 x 313 = 4547032380.