Least Common Multiple of 459, 689, 648, 286, 663

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 459, 689, 648, 286, 663 i.e. 83490264 smallest integer divisible by all numbers.

Least common multiple (LCM) of 459, 689, 648, 286, 663 is 83490264.

LCM(459, 689, 648, 286, 663) = 83490264

LCM of 459, 689, 648, 286, 663

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

LCM of:

Least Common Multiple of 459,689,648,286,663

Least Common Multiple (LCM) of 459,689,648,286,663 is 83490264

2 459, 689, 648, 286, 663
3 459, 689, 324, 143, 663
3 153, 689, 108, 143, 221
3 51, 689, 36, 143, 221
13 17, 689, 12, 143, 221
17 17, 53, 12, 11, 17
1, 53, 12, 11, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 13 x 17 x 1 x 53 x 12 x 11 x 1 = 83490264

Least Common Multiple of 459,689,648,286,663 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 459,689,648,286,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,689,648,286,663) = 1

common factors(in case of two or more numbers have common factors) = 465426

GCF(459,689,648,286,663) x common factors =1 x 465426 = 465426

LCM(459,689,648,286,663) = ( 459 × 689 × 648 × 286 × 663 ) / 465426

LCM(459,689,648,286,663) = 38858539612464 / 465426

LCM(459,689,648,286,663) = 83490264

∴ Least Common Multiple of 459,689,648,286,663 is 83490264

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 459, 689, 648, 286, 663

1. What is the LCM of 459, 689, 648, 286, 663?

Answer: LCM of 459, 689, 648, 286, 663 is 83490264.

2. What are the Factors of 83490264?

Answer: Factors of 83490264 are . There are integers that are factors of 83490264

3. How to Find the LCM of 459, 689, 648, 286, 663 ?

Least Common Multiple of 459, 689, 648, 286, 663.

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(459, 689, 648, 286, 663) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 11 x 13 x 17 x 53 = 83490264.