Least Common Multiple of 468, 985, 834, 125, 490

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 468, 985, 834, 125, 490 i.e. 78493369500 smallest integer divisible by all numbers.

Least common multiple (LCM) of 468, 985, 834, 125, 490 is 78493369500.

LCM(468, 985, 834, 125, 490) = 78493369500

LCM of 468, 985, 834, 125, 490

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

LCM of:

Least Common Multiple of 468,985,834,125,490

Least Common Multiple (LCM) of 468,985,834,125,490 is 78493369500

2 468, 985, 834, 125, 490
3 234, 985, 417, 125, 245
5 78, 985, 139, 125, 245
78, 197, 139, 25, 49

∴ So the LCM of the given numbers is 2 x 3 x 5 x 78 x 197 x 139 x 25 x 49 = 78493369500

Least Common Multiple of 468,985,834,125,490 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 468,985,834,125,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(468,985,834,125,490) = 1

common factors(in case of two or more numbers have common factors) = 300

GCF(468,985,834,125,490) x common factors =1 x 300 = 300

LCM(468,985,834,125,490) = ( 468 × 985 × 834 × 125 × 490 ) / 300

LCM(468,985,834,125,490) = 23548010850000 / 300

LCM(468,985,834,125,490) = 78493369500

∴ Least Common Multiple of 468,985,834,125,490 is 78493369500

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 468, 985, 834, 125, 490

1. What is the LCM of 468, 985, 834, 125, 490?

Answer: LCM of 468, 985, 834, 125, 490 is 78493369500.

2. What are the Factors of 78493369500?

Answer: Factors of 78493369500 are . There are integers that are factors of 78493369500

3. How to Find the LCM of 468, 985, 834, 125, 490 ?

Least Common Multiple of 468, 985, 834, 125, 490.

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(468, 985, 834, 125, 490) = 2 x 2 x 3 x 3 x 5 x 5 x 5 x 7 x 7 x 13 x 139 x 197 = 78493369500.