Least Common Multiple of 345, 231, 581, 149, 850

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 345, 231, 581, 149, 850 i.e. 55849990350 smallest integer divisible by all numbers.

Least common multiple (LCM) of 345, 231, 581, 149, 850 is 55849990350.

LCM(345, 231, 581, 149, 850) = 55849990350

LCM of 345, 231, 581, 149, 850

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

LCM of:

Least Common Multiple of 345,231,581,149,850

Least Common Multiple (LCM) of 345,231,581,149,850 is 55849990350

3 345, 231, 581, 149, 850
5 115, 77, 581, 149, 850
7 23, 77, 581, 149, 170
23, 11, 83, 149, 170

∴ So the LCM of the given numbers is 3 x 5 x 7 x 23 x 11 x 83 x 149 x 170 = 55849990350

Least Common Multiple of 345,231,581,149,850 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 345,231,581,149,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,231,581,149,850) = 1

common factors(in case of two or more numbers have common factors) = 105

GCF(345,231,581,149,850) x common factors =1 x 105 = 105

LCM(345,231,581,149,850) = ( 345 × 231 × 581 × 149 × 850 ) / 105

LCM(345,231,581,149,850) = 5864248986750 / 105

LCM(345,231,581,149,850) = 55849990350

∴ Least Common Multiple of 345,231,581,149,850 is 55849990350

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 345, 231, 581, 149, 850

1. What is the LCM of 345, 231, 581, 149, 850?

Answer: LCM of 345, 231, 581, 149, 850 is 55849990350.

2. What are the Factors of 55849990350?

Answer: Factors of 55849990350 are . There are integers that are factors of 55849990350

3. How to Find the LCM of 345, 231, 581, 149, 850 ?

Least Common Multiple of 345, 231, 581, 149, 850.

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(345, 231, 581, 149, 850) = 2 x 3 x 5 x 5 x 7 x 11 x 17 x 23 x 83 x 149 = 55849990350.