Least Common Multiple of 493, 594, 648, 945, 316

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 493, 594, 648, 945, 316 i.e. 9716497560 smallest integer divisible by all numbers.

Least common multiple (LCM) of 493, 594, 648, 945, 316 is 9716497560.

LCM(493, 594, 648, 945, 316) = 9716497560

LCM of 493, 594, 648, 945, 316

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

LCM of:

Least Common Multiple of 493,594,648,945,316

Least Common Multiple (LCM) of 493,594,648,945,316 is 9716497560

2 493, 594, 648, 945, 316
2 493, 297, 324, 945, 158
3 493, 297, 162, 945, 79
3 493, 99, 54, 315, 79
3 493, 33, 18, 105, 79
493, 11, 6, 35, 79

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 493 x 11 x 6 x 35 x 79 = 9716497560

Least Common Multiple of 493,594,648,945,316 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 493,594,648,945,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,594,648,945,316) = 1

common factors(in case of two or more numbers have common factors) = 5832

GCF(493,594,648,945,316) x common factors =1 x 5832 = 5832

LCM(493,594,648,945,316) = ( 493 × 594 × 648 × 945 × 316 ) / 5832

LCM(493,594,648,945,316) = 56666613769920 / 5832

LCM(493,594,648,945,316) = 9716497560

∴ Least Common Multiple of 493,594,648,945,316 is 9716497560

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 493, 594, 648, 945, 316

1. What is the LCM of 493, 594, 648, 945, 316?

Answer: LCM of 493, 594, 648, 945, 316 is 9716497560.

2. What are the Factors of 9716497560?

Answer: Factors of 9716497560 are . There are integers that are factors of 9716497560

3. How to Find the LCM of 493, 594, 648, 945, 316 ?

Least Common Multiple of 493, 594, 648, 945, 316.

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(493, 594, 648, 945, 316) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 7 x 11 x 17 x 29 x 79 = 9716497560.