Least Common Multiple of 784, 144, 540

Q: How to Find the LCM of 784, 144, 540 ?

Least Common Multiple of 784, 144, 540 = 105840 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(784, 144, 540) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 7 = 105840.

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 784, 144, 540 i.e. 105840 smallest integer divisible by all numbers.

Least common multiple (LCM) of 784, 144, 540 is 105840.

LCM(784, 144, 540) = 105840

LCM of 784, 144, 540

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

Least Common Multiple of 784, 144, 540 by common division method
Least Common Multiple of 784, 144, 540 with GCF Formula

Least Common Multiple of 784,144,540

Least Common Multiple (LCM) of 784,144,540 is 105840

2	784, 144, 540
2	392, 72, 270
2	196, 36, 135
2	98, 18, 135
3	49, 9, 135
3	49, 3, 45
	49, 1, 15

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 49 x 1 x 15 = 105840

Least Common Multiple of 784,144,540 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 784,144,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,144,540) = 4

common factors(in case of two or more numbers have common factors) = 144

GCF(784,144,540) x common factors =4 x 144 = 576

LCM(784,144,540) = ( 784 × 144 × 540 ) / 576

LCM(784,144,540) = 60963840 / 576

LCM(784,144,540) = 105840

∴ Least Common Multiple of 784,144,540 is 105840

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 784, 144, 540

1. What is the LCM of 784, 144, 540?

Answer: LCM of 784, 144, 540 is 105840.

2. What are the Factors of 105840?

Answer: Factors of 105840 are . There are integers that are factors of 105840

3. How to Find the LCM of 784, 144, 540 ?

Least Common Multiple of 784, 144, 540.

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(784, 144, 540) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 7 = 105840.