Least Common Multiple of 578, 698, 130, 459, 348

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 578, 698, 130, 459, 348 i.e. 20533282380 smallest integer divisible by all numbers.

Least common multiple (LCM) of 578, 698, 130, 459, 348 is 20533282380.

LCM(578, 698, 130, 459, 348) = 20533282380

LCM of 578, 698, 130, 459, 348

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

LCM of:

Least Common Multiple of 578,698,130,459,348

Least Common Multiple (LCM) of 578,698,130,459,348 is 20533282380

2 578, 698, 130, 459, 348
3 289, 349, 65, 459, 174
17 289, 349, 65, 153, 58
17, 349, 65, 9, 58

∴ So the LCM of the given numbers is 2 x 3 x 17 x 17 x 349 x 65 x 9 x 58 = 20533282380

Least Common Multiple of 578,698,130,459,348 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 578,698,130,459,348 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(578,698,130,459,348) = 1

common factors(in case of two or more numbers have common factors) = 408

GCF(578,698,130,459,348) x common factors =1 x 408 = 408

LCM(578,698,130,459,348) = ( 578 × 698 × 130 × 459 × 348 ) / 408

LCM(578,698,130,459,348) = 8377579211040 / 408

LCM(578,698,130,459,348) = 20533282380

∴ Least Common Multiple of 578,698,130,459,348 is 20533282380

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 578, 698, 130, 459, 348

1. What is the LCM of 578, 698, 130, 459, 348?

Answer: LCM of 578, 698, 130, 459, 348 is 20533282380.

2. What are the Factors of 20533282380?

Answer: Factors of 20533282380 are . There are integers that are factors of 20533282380

3. How to Find the LCM of 578, 698, 130, 459, 348 ?

Least Common Multiple of 578, 698, 130, 459, 348.

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(578, 698, 130, 459, 348) = 2 x 2 x 3 x 3 x 3 x 5 x 13 x 17 x 17 x 29 x 349 = 20533282380.