Least Common Multiple of 776 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 776 and 780 the smallest integer that is 151320 that is divisible by both numbers.

Least Common Multiple (LCM) of 776 and 780 is 151320.

LCM(776,780) = 151320

LCM of 776 and 780

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

LCM of:
and

Least Common Multiple of 776 and 780

LCM of 776 and 780 is 151320

Least common multiple can be found by multiplying the highest exponent prime factors of 776 and 780. First we will calculate the prime factors of 776 and 780.

Prime Factorization of 776


2 776
2 388
2 194
97 97
1

Prime factors of 776 are 2,97. Prime factorization of 776 in exponential form is:

776 = 23×971

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 776 and 780.

LCM(776,780) = 23×31×51×131×971
LCM(776,780) = 151320

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1, 2, 4, 8, 97, 194, 388, 776

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 776 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 776 and 780, than apply into the LCM equation.

GCF(776,780) = 4
LCM(776,780) = ( 776 × 780) / 4
LCM(776,780) = 605280 / 4
LCM(776,780) = 151320

Properties of LCM 776 and 780

(i) The LCM of 780 and 776 is associative

LCM of 776 and 780 = LCM of 780 and 776

Related Least Common Multiples of 776

Related Least Common Multiples of 780

Frequently Asked Questions on LCM of 776 and 780

1. What is the LCM of 776 and 780?

Answer: LCM of 776 and 780 is 151320.

2. What are the Factors of 776?

Answer: Factors of 776 are 1, 2, 4, 8, 97, 194, 388, 776. There are 8 integers that are factors of 776. The greatest factor of 776 is 776.

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 776 and 780?

Answer:

Least Common Multiple of 776 and 780 = 151320

Step 1: Find the prime factorization of 776

776 = 2 x 2 x 2 x 97

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 = 151320 = 2 x 2 x 2 x 3 x 5 x 13 x 97

Step 4: Therefore, the least common multiple of 776 and 780 is 151320.