Least Common Multiple of 784 and 785

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 785 the smallest integer that is 615440 that is divisible by both numbers.

Least Common Multiple (LCM) of 784 and 785 is 615440.

LCM(784,785) = 615440

LCM of 784 and 785

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

LCM of:
and

Least Common Multiple of 784 and 785

LCM of 784 and 785 is 615440

Least common multiple can be found by multiplying the highest exponent prime factors of 784 and 785. First we will calculate the prime factors of 784 and 785.

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 785


5 785
157 157
1

Prime factors of 785 are 5,157. Prime factorization of 785 in exponential form is:

785 = 51×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 784 and 785.

LCM(784,785) = 24×51×72×1571
LCM(784,785) = 615440

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 785

List of positive integer factors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Least Common Multiple of 784 and 785 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 785, than apply into the LCM equation.

GCF(784,785) = 1
LCM(784,785) = ( 784 × 785) / 1
LCM(784,785) = 615440 / 1
LCM(784,785) = 615440

Properties of LCM 784 and 785

(i) The LCM of 785 and 784 is associative

LCM of 784 and 785 = LCM of 785 and 784

Related Least Common Multiples of 784

Related Least Common Multiples of 785

Frequently Asked Questions on LCM of 784 and 785

1. What is the LCM of 784 and 785?

Answer: LCM of 784 and 785 is 615440.

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 785?

Answer: Factors of 785 are 1, 5, 157, 785. There are 4 integers that are factors of 785. The greatest factor of 785 is 785.

4. How to Find the LCM of 784 and 785?

Answer:

Least Common Multiple of 784 and 785 = 615440

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 785

785 = 5 x 157

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

LCM = 615440 = 2 x 2 x 2 x 2 x 5 x 7 x 7 x 157

Step 4: Therefore, the least common multiple of 784 and 785 is 615440.