Least Common Multiple of 360 and 792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 360 and 792 the smallest integer that is 3960 that is divisible by both numbers.

Least Common Multiple (LCM) of 360 and 792 is 3960.

LCM(360,792) = 3960

LCM of 360 and 792

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

LCM of:
and

Least Common Multiple of 360 and 792

LCM of 360 and 792 is 3960

Least common multiple can be found by multiplying the highest exponent prime factors of 360 and 792. First we will calculate the prime factors of 360 and 792.

Prime Factorization of 360


2 360
2 180
2 90
3 45
3 15
5 5
1

Prime factors of 360 are 2, 3,5. Prime factorization of 360 in exponential form is:

360 = 23×32×51

Prime Factorization of 792


2 792
2 396
2 198
3 99
3 33
11 11
1

Prime factors of 792 are 2, 3,11. Prime factorization of 792 in exponential form is:

792 = 23×32×111

Now multiplying the highest exponent prime factors to calculate the LCM of 360 and 792.

LCM(360,792) = 23×32×51×111
LCM(360,792) = 3960

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Least Common Multiple of 360 and 792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 360 and 792, than apply into the LCM equation.

GCF(360,792) = 72
LCM(360,792) = ( 360 × 792) / 72
LCM(360,792) = 285120 / 72
LCM(360,792) = 3960

Properties of LCM 360 and 792

(i) The LCM of 792 and 360 is associative

LCM of 360 and 792 = LCM of 792 and 360

Related Least Common Multiples of 360

Related Least Common Multiples of 792

Frequently Asked Questions on LCM of 360 and 792

1. What is the LCM of 360 and 792?

Answer: LCM of 360 and 792 is 3960.

2. What are the Factors of 360?

Answer: Factors of 360 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360. There are 24 integers that are factors of 360. The greatest factor of 360 is 360.

3. What are the Factors of 792?

Answer: Factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792. There are 24 integers that are factors of 792. The greatest factor of 792 is 792.

4. How to Find the LCM of 360 and 792?

Answer:

Least Common Multiple of 360 and 792 = 3960

Step 1: Find the prime factorization of 360

360 = 2 x 2 x 2 x 3 x 3 x 5

Step 2: Find the prime factorization of 792

792 = 2 x 2 x 2 x 3 x 3 x 11

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 3960 = 2 x 2 x 2 x 3 x 3 x 5 x 11

Step 4: Therefore, the least common multiple of 360 and 792 is 3960.