Least Common Multiple of 704, 564, 448

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 704, 564, 448 i.e. 694848 smallest integer divisible by all numbers.

Least common multiple (LCM) of 704, 564, 448 is 694848.

LCM(704, 564, 448) = 694848

LCM of 704, 564, 448

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

LCM of:

Least Common Multiple of 704,564,448

Least Common Multiple (LCM) of 704,564,448 is 694848

2 704, 564, 448
2 352, 282, 224
2 176, 141, 112
2 88, 141, 56
2 44, 141, 28
2 22, 141, 14
11, 141, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 11 x 141 x 7 = 694848

Least Common Multiple of 704,564,448 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 704,564,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,564,448) = 4

common factors(in case of two or more numbers have common factors) = 64

GCF(704,564,448) x common factors =4 x 64 = 256

LCM(704,564,448) = ( 704 × 564 × 448 ) / 256

LCM(704,564,448) = 177881088 / 256

LCM(704,564,448) = 694848

∴ Least Common Multiple of 704,564,448 is 694848

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 704, 564, 448

1. What is the LCM of 704, 564, 448?

Answer: LCM of 704, 564, 448 is 694848.

2. What are the Factors of 694848?

Answer: Factors of 694848 are . There are integers that are factors of 694848

3. How to Find the LCM of 704, 564, 448 ?

Least Common Multiple of 704, 564, 448.

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(704, 564, 448) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 47 = 694848.