Least Common Multiple of 784 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 784 and 790 the smallest integer that is 309680 that is divisible by both numbers.

Least Common Multiple (LCM) of 784 and 790 is 309680.

LCM(784,790) = 309680

LCM of 784 and 790

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

LCM of:
and

Least Common Multiple of 784 and 790

LCM of 784 and 790 is 309680

Least common multiple can be found by multiplying the highest exponent prime factors of 784 and 790. First we will calculate the prime factors of 784 and 790.

Prime Factorization of 784


2 784
2 392
2 196
2 98
7 49
7 7
1

Prime factors of 784 are 2,7. Prime factorization of 784 in exponential form is:

784 = 24×72

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 784 and 790.

LCM(784,790) = 24×51×72×791
LCM(784,790) = 309680

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

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 784 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 784 and 790, than apply into the LCM equation.

GCF(784,790) = 2
LCM(784,790) = ( 784 × 790) / 2
LCM(784,790) = 619360 / 2
LCM(784,790) = 309680

Properties of LCM 784 and 790

(i) The LCM of 790 and 784 is associative

LCM of 784 and 790 = LCM of 790 and 784

Related Least Common Multiples of 784

Related Least Common Multiples of 790

Frequently Asked Questions on LCM of 784 and 790

1. What is the LCM of 784 and 790?

Answer: LCM of 784 and 790 is 309680.

2. What are the Factors of 784?

Answer: Factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784. There are 15 integers that are factors of 784. The greatest factor of 784 is 784.

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 784 and 790?

Answer:

Least Common Multiple of 784 and 790 = 309680

Step 1: Find the prime factorization of 784

784 = 2 x 2 x 2 x 2 x 7 x 7

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 = 309680 = 2 x 2 x 2 x 2 x 5 x 7 x 7 x 79

Step 4: Therefore, the least common multiple of 784 and 790 is 309680.