Least Common Multiple of 508, 840, 489, 850, 705

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 508, 840, 489, 850, 705 i.e. 69468415800 smallest integer divisible by all numbers.

Least common multiple (LCM) of 508, 840, 489, 850, 705 is 69468415800.

LCM(508, 840, 489, 850, 705) = 69468415800

LCM of 508, 840, 489, 850, 705

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

LCM of:

Least Common Multiple of 508,840,489,850,705

Least Common Multiple (LCM) of 508,840,489,850,705 is 69468415800

2 508, 840, 489, 850, 705
2 254, 420, 489, 425, 705
3 127, 210, 489, 425, 705
5 127, 70, 163, 425, 235
127, 14, 163, 85, 47

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 127 x 14 x 163 x 85 x 47 = 69468415800

Least Common Multiple of 508,840,489,850,705 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 508,840,489,850,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(508,840,489,850,705) = 1

common factors(in case of two or more numbers have common factors) = 1800

GCF(508,840,489,850,705) x common factors =1 x 1800 = 1800

LCM(508,840,489,850,705) = ( 508 × 840 × 489 × 850 × 705 ) / 1800

LCM(508,840,489,850,705) = 125043148440000 / 1800

LCM(508,840,489,850,705) = 69468415800

∴ Least Common Multiple of 508,840,489,850,705 is 69468415800

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 508, 840, 489, 850, 705

1. What is the LCM of 508, 840, 489, 850, 705?

Answer: LCM of 508, 840, 489, 850, 705 is 69468415800.

2. What are the Factors of 69468415800?

Answer: Factors of 69468415800 are . There are integers that are factors of 69468415800

3. How to Find the LCM of 508, 840, 489, 850, 705 ?

Least Common Multiple of 508, 840, 489, 850, 705.

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(508, 840, 489, 850, 705) = 2 x 2 x 2 x 3 x 5 x 5 x 7 x 17 x 47 x 127 x 163 = 69468415800.