Least Common Multiple of 1008, 4704

Q: How to Find the LCM of 1008, 4704 ?

Least Common Multiple of 1008, 4704 = 14112 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(1008, 4704) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 = 14112.

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 1008, 4704 i.e. 14112 smallest integer divisible by all numbers.

Least common multiple (LCM) of 1008, 4704 is 14112.

LCM(1008, 4704) = 14112

LCM of 1008, 4704

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

Least Common Multiple of 1008, 4704 by common division method
Least Common Multiple of 1008, 4704 with GCF Formula

Least Common Multiple of 1008,4704

Least Common Multiple (LCM) of 1008,4704 is 14112

2	1008, 4704
2	504, 2352
2	252, 1176
2	126, 588
3	63, 294
7	21, 98
	3, 14

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 7 x 3 x 14 = 14112

Least Common Multiple of 1008,4704 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 1008,4704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1008,4704) = 336

common factors(in case of two or more numbers have common factors) = 1

GCF(1008,4704) x common factors =336 x 1 = 336

LCM(1008,4704) = ( 1008 × 4704 ) / 336

LCM(1008,4704) = 4741632 / 336

LCM(1008,4704) = 14112

∴ Least Common Multiple of 1008,4704 is 14112

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 1008, 4704

1. What is the LCM of 1008, 4704?

Answer: LCM of 1008, 4704 is 14112.

2. What are the Factors of 14112?

Answer: Factors of 14112 are . There are integers that are factors of 14112

3. How to Find the LCM of 1008, 4704 ?

Least Common Multiple of 1008, 4704.

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(1008, 4704) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 7 = 14112.