Least Common Multiple of 770 and 774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 770 and 774 the smallest integer that is 297990 that is divisible by both numbers.

Least Common Multiple (LCM) of 770 and 774 is 297990.

LCM(770,774) = 297990

LCM of 770 and 774

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

LCM of:
and

Least Common Multiple of 770 and 774

LCM of 770 and 774 is 297990

Least common multiple can be found by multiplying the highest exponent prime factors of 770 and 774. First we will calculate the prime factors of 770 and 774.

Prime Factorization of 770


2 770
5 385
7 77
11 11
1

Prime factors of 770 are 2, 5, 7,11. Prime factorization of 770 in exponential form is:

770 = 21×51×71×111

Prime Factorization of 774


2 774
3 387
3 129
43 43
1

Prime factors of 774 are 2, 3,43. Prime factorization of 774 in exponential form is:

774 = 21×32×431

Now multiplying the highest exponent prime factors to calculate the LCM of 770 and 774.

LCM(770,774) = 21×32×51×71×111×431
LCM(770,774) = 297990

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Least Common Multiple of 770 and 774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 770 and 774, than apply into the LCM equation.

GCF(770,774) = 2
LCM(770,774) = ( 770 × 774) / 2
LCM(770,774) = 595980 / 2
LCM(770,774) = 297990

Properties of LCM 770 and 774

(i) The LCM of 774 and 770 is associative

LCM of 770 and 774 = LCM of 774 and 770

Related Least Common Multiples of 770

Related Least Common Multiples of 774

Frequently Asked Questions on LCM of 770 and 774

1. What is the LCM of 770 and 774?

Answer: LCM of 770 and 774 is 297990.

2. What are the Factors of 770?

Answer: Factors of 770 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770. There are 16 integers that are factors of 770. The greatest factor of 770 is 770.

3. What are the Factors of 774?

Answer: Factors of 774 are 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774. There are 12 integers that are factors of 774. The greatest factor of 774 is 774.

4. How to Find the LCM of 770 and 774?

Answer:

Least Common Multiple of 770 and 774 = 297990

Step 1: Find the prime factorization of 770

770 = 2 x 5 x 7 x 11

Step 2: Find the prime factorization of 774

774 = 2 x 3 x 3 x 43

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

LCM = 297990 = 2 x 3 x 3 x 5 x 7 x 11 x 43

Step 4: Therefore, the least common multiple of 770 and 774 is 297990.