Least Common Multiple of 548, 461, 567, 804

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 548, 461, 567, 804 i.e. 9597085092 smallest integer divisible by all numbers.

Least common multiple (LCM) of 548, 461, 567, 804 is 9597085092.

LCM(548, 461, 567, 804) = 9597085092

LCM of 548, 461, 567, 804

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

LCM of:

Least Common Multiple of 548,461,567,804

Least Common Multiple (LCM) of 548,461,567,804 is 9597085092

2 548, 461, 567, 804
2 274, 461, 567, 402
3 137, 461, 567, 201
137, 461, 189, 67

∴ So the LCM of the given numbers is 2 x 2 x 3 x 137 x 461 x 189 x 67 = 9597085092

Least Common Multiple of 548,461,567,804 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 548,461,567,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,461,567,804) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(548,461,567,804) x common factors =1 x 12 = 12

LCM(548,461,567,804) = ( 548 × 461 × 567 × 804 ) / 12

LCM(548,461,567,804) = 115165021104 / 12

LCM(548,461,567,804) = 9597085092

∴ Least Common Multiple of 548,461,567,804 is 9597085092

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 548, 461, 567, 804

1. What is the LCM of 548, 461, 567, 804?

Answer: LCM of 548, 461, 567, 804 is 9597085092.

2. What are the Factors of 9597085092?

Answer: Factors of 9597085092 are . There are integers that are factors of 9597085092

3. How to Find the LCM of 548, 461, 567, 804 ?

Least Common Multiple of 548, 461, 567, 804.

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(548, 461, 567, 804) = 2 x 2 x 3 x 3 x 3 x 3 x 7 x 67 x 137 x 461 = 9597085092.