Least Common Multiple of 786 and 790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 786 and 790 the smallest integer that is 310470 that is divisible by both numbers.

Least Common Multiple (LCM) of 786 and 790 is 310470.

LCM(786,790) = 310470

LCM of 786 and 790

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

LCM of:
and

Least Common Multiple of 786 and 790

LCM of 786 and 790 is 310470

Least common multiple can be found by multiplying the highest exponent prime factors of 786 and 790. First we will calculate the prime factors of 786 and 790.

Prime Factorization of 786


2 786
3 393
131 131
1

Prime factors of 786 are 2, 3,131. Prime factorization of 786 in exponential form is:

786 = 21×31×1311

Prime Factorization of 790


2 790
5 395
79 79
1

Prime factors of 790 are 2, 5,79. Prime factorization of 790 in exponential form is:

790 = 21×51×791

Now multiplying the highest exponent prime factors to calculate the LCM of 786 and 790.

LCM(786,790) = 21×31×51×791×1311
LCM(786,790) = 310470

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Least Common Multiple of 786 and 790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 786 and 790, than apply into the LCM equation.

GCF(786,790) = 2
LCM(786,790) = ( 786 × 790) / 2
LCM(786,790) = 620940 / 2
LCM(786,790) = 310470

Properties of LCM 786 and 790

(i) The LCM of 790 and 786 is associative

LCM of 786 and 790 = LCM of 790 and 786

Related Least Common Multiples of 786

Related Least Common Multiples of 790

Frequently Asked Questions on LCM of 786 and 790

1. What is the LCM of 786 and 790?

Answer: LCM of 786 and 790 is 310470.

2. What are the Factors of 786?

Answer: Factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786. There are 8 integers that are factors of 786. The greatest factor of 786 is 786.

3. What are the Factors of 790?

Answer: Factors of 790 are 1, 2, 5, 10, 79, 158, 395, 790. There are 8 integers that are factors of 790. The greatest factor of 790 is 790.

4. How to Find the LCM of 786 and 790?

Answer:

Least Common Multiple of 786 and 790 = 310470

Step 1: Find the prime factorization of 786

786 = 2 x 3 x 131

Step 2: Find the prime factorization of 790

790 = 2 x 5 x 79

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

LCM = 310470 = 2 x 3 x 5 x 79 x 131

Step 4: Therefore, the least common multiple of 786 and 790 is 310470.