Least Common Multiple of 778 and 784

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 784 the smallest integer that is 304976 that is divisible by both numbers.

Least Common Multiple (LCM) of 778 and 784 is 304976.

LCM(778,784) = 304976

LCM of 778 and 784

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

LCM of:
and

Least Common Multiple of 778 and 784

LCM of 778 and 784 is 304976

Least common multiple can be found by multiplying the highest exponent prime factors of 778 and 784. First we will calculate the prime factors of 778 and 784.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 778 and 784.

LCM(778,784) = 24×72×3891
LCM(778,784) = 304976

Factors of 778

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

1, 2, 389, 778

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

Least Common Multiple of 778 and 784 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 784, than apply into the LCM equation.

GCF(778,784) = 2
LCM(778,784) = ( 778 × 784) / 2
LCM(778,784) = 609952 / 2
LCM(778,784) = 304976

Properties of LCM 778 and 784

(i) The LCM of 784 and 778 is associative

LCM of 778 and 784 = LCM of 784 and 778

Related Least Common Multiples of 778

Related Least Common Multiples of 784

Frequently Asked Questions on LCM of 778 and 784

1. What is the LCM of 778 and 784?

Answer: LCM of 778 and 784 is 304976.

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 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.

4. How to Find the LCM of 778 and 784?

Answer:

Least Common Multiple of 778 and 784 = 304976

Step 1: Find the prime factorization of 778

778 = 2 x 389

Step 2: Find the prime factorization of 784

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

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

LCM = 304976 = 2 x 2 x 2 x 2 x 7 x 7 x 389

Step 4: Therefore, the least common multiple of 778 and 784 is 304976.