Least Common Multiple of 776 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 776 and 784 the smallest integer that is 76048 that is divisible by both numbers.

Least Common Multiple (LCM) of 776 and 784 is 76048.

LCM(776,784) = 76048

LCM of 776 and 784

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

LCM of:
and

Least Common Multiple of 776 and 784

LCM of 776 and 784 is 76048

Least common multiple can be found by multiplying the highest exponent prime factors of 776 and 784. First we will calculate the prime factors of 776 and 784.

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 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 776 and 784.

LCM(776,784) = 24×72×971
LCM(776,784) = 76048

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 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 776 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 776 and 784, than apply into the LCM equation.

GCF(776,784) = 8
LCM(776,784) = ( 776 × 784) / 8
LCM(776,784) = 608384 / 8
LCM(776,784) = 76048

Properties of LCM 776 and 784

(i) The LCM of 784 and 776 is associative

LCM of 776 and 784 = LCM of 784 and 776

Related Least Common Multiples of 776

Related Least Common Multiples of 784

Frequently Asked Questions on LCM of 776 and 784

1. What is the LCM of 776 and 784?

Answer: LCM of 776 and 784 is 76048.

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 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 776 and 784?

Answer:

Least Common Multiple of 776 and 784 = 76048

Step 1: Find the prime factorization of 776

776 = 2 x 2 x 2 x 97

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 = 76048 = 2 x 2 x 2 x 2 x 7 x 7 x 97

Step 4: Therefore, the least common multiple of 776 and 784 is 76048.