Least Common Multiple of 783, 240, 414, 228

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 783, 240, 414, 228 i.e. 27373680 smallest integer divisible by all numbers.

Least common multiple (LCM) of 783, 240, 414, 228 is 27373680.

LCM(783, 240, 414, 228) = 27373680

LCM of 783, 240, 414, 228

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

LCM of:

Least Common Multiple of 783,240,414,228

Least Common Multiple (LCM) of 783,240,414,228 is 27373680

2 783, 240, 414, 228
2 783, 120, 207, 114
3 783, 60, 207, 57
3 261, 20, 69, 19
87, 20, 23, 19

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 87 x 20 x 23 x 19 = 27373680

Least Common Multiple of 783,240,414,228 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 783,240,414,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(783,240,414,228) = 3

common factors(in case of two or more numbers have common factors) = 216

GCF(783,240,414,228) x common factors =3 x 216 = 648

LCM(783,240,414,228) = ( 783 × 240 × 414 × 228 ) / 648

LCM(783,240,414,228) = 17738144640 / 648

LCM(783,240,414,228) = 27373680

∴ Least Common Multiple of 783,240,414,228 is 27373680

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 783, 240, 414, 228

1. What is the LCM of 783, 240, 414, 228?

Answer: LCM of 783, 240, 414, 228 is 27373680.

2. What are the Factors of 27373680?

Answer: Factors of 27373680 are . There are integers that are factors of 27373680

3. How to Find the LCM of 783, 240, 414, 228 ?

Least Common Multiple of 783, 240, 414, 228.

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(783, 240, 414, 228) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 19 x 23 x 29 = 27373680.