Least Common Multiple of 480, 322, 444, 861, 427

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 480, 322, 444, 861, 427 i.e. 7151259360 smallest integer divisible by all numbers.

Least common multiple (LCM) of 480, 322, 444, 861, 427 is 7151259360.

LCM(480, 322, 444, 861, 427) = 7151259360

LCM of 480, 322, 444, 861, 427

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

LCM of:

Least Common Multiple of 480,322,444,861,427

Least Common Multiple (LCM) of 480,322,444,861,427 is 7151259360

2 480, 322, 444, 861, 427
2 240, 161, 222, 861, 427
3 120, 161, 111, 861, 427
7 40, 161, 37, 287, 427
40, 23, 37, 41, 61

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 40 x 23 x 37 x 41 x 61 = 7151259360

Least Common Multiple of 480,322,444,861,427 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 480,322,444,861,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,322,444,861,427) = 1

common factors(in case of two or more numbers have common factors) = 3528

GCF(480,322,444,861,427) x common factors =1 x 3528 = 3528

LCM(480,322,444,861,427) = ( 480 × 322 × 444 × 861 × 427 ) / 3528

LCM(480,322,444,861,427) = 25229643022080 / 3528

LCM(480,322,444,861,427) = 7151259360

∴ Least Common Multiple of 480,322,444,861,427 is 7151259360

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 480, 322, 444, 861, 427

1. What is the LCM of 480, 322, 444, 861, 427?

Answer: LCM of 480, 322, 444, 861, 427 is 7151259360.

2. What are the Factors of 7151259360?

Answer: Factors of 7151259360 are . There are integers that are factors of 7151259360

3. How to Find the LCM of 480, 322, 444, 861, 427 ?

Least Common Multiple of 480, 322, 444, 861, 427.

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(480, 322, 444, 861, 427) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 23 x 37 x 41 x 61 = 7151259360.