Least Common Multiple of 778 and 780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 778 and 780 the smallest integer that is 303420 that is divisible by both numbers.

Least Common Multiple (LCM) of 778 and 780 is 303420.

LCM(778,780) = 303420

LCM of 778 and 780

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

LCM of:
and

Least Common Multiple of 778 and 780

LCM of 778 and 780 is 303420

Least common multiple can be found by multiplying the highest exponent prime factors of 778 and 780. First we will calculate the prime factors of 778 and 780.

Prime Factorization of 778


2 778
389 389
1

Prime factors of 778 are 2,389. Prime factorization of 778 in exponential form is:

778 = 21×3891

Prime Factorization of 780


2 780
2 390
3 195
5 65
13 13
1

Prime factors of 780 are 2, 3, 5,13. Prime factorization of 780 in exponential form is:

780 = 22×31×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 778 and 780.

LCM(778,780) = 22×31×51×131×3891
LCM(778,780) = 303420

Factors of 778

List of positive integer factors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Least Common Multiple of 778 and 780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 778 and 780, than apply into the LCM equation.

GCF(778,780) = 2
LCM(778,780) = ( 778 × 780) / 2
LCM(778,780) = 606840 / 2
LCM(778,780) = 303420

Properties of LCM 778 and 780

(i) The LCM of 780 and 778 is associative

LCM of 778 and 780 = LCM of 780 and 778

Related Least Common Multiples of 778

Related Least Common Multiples of 780

Frequently Asked Questions on LCM of 778 and 780

1. What is the LCM of 778 and 780?

Answer: LCM of 778 and 780 is 303420.

2. What are the Factors of 778?

Answer: Factors of 778 are 1, 2, 389, 778. There are 4 integers that are factors of 778. The greatest factor of 778 is 778.

3. What are the Factors of 780?

Answer: Factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780. There are 24 integers that are factors of 780. The greatest factor of 780 is 780.

4. How to Find the LCM of 778 and 780?

Answer:

Least Common Multiple of 778 and 780 = 303420

Step 1: Find the prime factorization of 778

778 = 2 x 389

Step 2: Find the prime factorization of 780

780 = 2 x 2 x 3 x 5 x 13

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

LCM = 303420 = 2 x 2 x 3 x 5 x 13 x 389

Step 4: Therefore, the least common multiple of 778 and 780 is 303420.