Least Common Multiple of 611 and 616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 611 and 616 the smallest integer that is 376376 that is divisible by both numbers.

Least Common Multiple (LCM) of 611 and 616 is 376376.

LCM(611,616) = 376376

LCM of 611 and 616

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

LCM of:
and

Least Common Multiple of 611 and 616

LCM of 611 and 616 is 376376

Least common multiple can be found by multiplying the highest exponent prime factors of 611 and 616. First we will calculate the prime factors of 611 and 616.

Prime Factorization of 611


13 611
47 47
1

Prime factors of 611 are 13,47. Prime factorization of 611 in exponential form is:

611 = 131×471

Prime Factorization of 616


2 616
2 308
2 154
7 77
11 11
1

Prime factors of 616 are 2, 7,11. Prime factorization of 616 in exponential form is:

616 = 23×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 611 and 616.

LCM(611,616) = 23×71×111×131×471
LCM(611,616) = 376376

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1, 13, 47, 611

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Least Common Multiple of 611 and 616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 611 and 616, than apply into the LCM equation.

GCF(611,616) = 1
LCM(611,616) = ( 611 × 616) / 1
LCM(611,616) = 376376 / 1
LCM(611,616) = 376376

Properties of LCM 611 and 616

(i) The LCM of 616 and 611 is associative

LCM of 611 and 616 = LCM of 616 and 611

Related Least Common Multiples of 611

Related Least Common Multiples of 616

Frequently Asked Questions on LCM of 611 and 616

1. What is the LCM of 611 and 616?

Answer: LCM of 611 and 616 is 376376.

2. What are the Factors of 611?

Answer: Factors of 611 are 1, 13, 47, 611. There are 4 integers that are factors of 611. The greatest factor of 611 is 611.

3. What are the Factors of 616?

Answer: Factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616. There are 16 integers that are factors of 616. The greatest factor of 616 is 616.

4. How to Find the LCM of 611 and 616?

Answer:

Least Common Multiple of 611 and 616 = 376376

Step 1: Find the prime factorization of 611

611 = 13 x 47

Step 2: Find the prime factorization of 616

616 = 2 x 2 x 2 x 7 x 11

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

LCM = 376376 = 2 x 2 x 2 x 7 x 11 x 13 x 47

Step 4: Therefore, the least common multiple of 611 and 616 is 376376.