Least Common Multiple of 690, 308, 912, 221, 260

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 690, 308, 912, 221, 260 i.e. 1784742960 smallest integer divisible by all numbers.

Least common multiple (LCM) of 690, 308, 912, 221, 260 is 1784742960.

LCM(690, 308, 912, 221, 260) = 1784742960

LCM of 690, 308, 912, 221, 260

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

LCM of:

Least Common Multiple of 690,308,912,221,260

Least Common Multiple (LCM) of 690,308,912,221,260 is 1784742960

2 690, 308, 912, 221, 260
2 345, 154, 456, 221, 130
3 345, 77, 228, 221, 65
5 115, 77, 76, 221, 65
13 23, 77, 76, 221, 13
23, 77, 76, 17, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 13 x 23 x 77 x 76 x 17 x 1 = 1784742960

Least Common Multiple of 690,308,912,221,260 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 690,308,912,221,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,308,912,221,260) = 1

common factors(in case of two or more numbers have common factors) = 6240

GCF(690,308,912,221,260) x common factors =1 x 6240 = 6240

LCM(690,308,912,221,260) = ( 690 × 308 × 912 × 221 × 260 ) / 6240

LCM(690,308,912,221,260) = 11136796070400 / 6240

LCM(690,308,912,221,260) = 1784742960

∴ Least Common Multiple of 690,308,912,221,260 is 1784742960

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 690, 308, 912, 221, 260

1. What is the LCM of 690, 308, 912, 221, 260?

Answer: LCM of 690, 308, 912, 221, 260 is 1784742960.

2. What are the Factors of 1784742960?

Answer: Factors of 1784742960 are . There are integers that are factors of 1784742960

3. How to Find the LCM of 690, 308, 912, 221, 260 ?

Least Common Multiple of 690, 308, 912, 221, 260.

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(690, 308, 912, 221, 260) = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11 x 13 x 17 x 19 x 23 = 1784742960.