Least Common Multiple of 766 and 770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 766 and 770 the smallest integer that is 294910 that is divisible by both numbers.

Least Common Multiple (LCM) of 766 and 770 is 294910.

LCM(766,770) = 294910

LCM of 766 and 770

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

LCM of:
and

Least Common Multiple of 766 and 770

LCM of 766 and 770 is 294910

Least common multiple can be found by multiplying the highest exponent prime factors of 766 and 770. First we will calculate the prime factors of 766 and 770.

Prime Factorization of 766


2 766
383 383
1

Prime factors of 766 are 2,383. Prime factorization of 766 in exponential form is:

766 = 21×3831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 766 and 770.

LCM(766,770) = 21×51×71×111×3831
LCM(766,770) = 294910

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1, 2, 383, 766

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

Least Common Multiple of 766 and 770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 766 and 770, than apply into the LCM equation.

GCF(766,770) = 2
LCM(766,770) = ( 766 × 770) / 2
LCM(766,770) = 589820 / 2
LCM(766,770) = 294910

Properties of LCM 766 and 770

(i) The LCM of 770 and 766 is associative

LCM of 766 and 770 = LCM of 770 and 766

Related Least Common Multiples of 766

Related Least Common Multiples of 770

Frequently Asked Questions on LCM of 766 and 770

1. What is the LCM of 766 and 770?

Answer: LCM of 766 and 770 is 294910.

2. What are the Factors of 766?

Answer: Factors of 766 are 1, 2, 383, 766. There are 4 integers that are factors of 766. The greatest factor of 766 is 766.

3. 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.

4. How to Find the LCM of 766 and 770?

Answer:

Least Common Multiple of 766 and 770 = 294910

Step 1: Find the prime factorization of 766

766 = 2 x 383

Step 2: Find the prime factorization of 770

770 = 2 x 5 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 = 294910 = 2 x 5 x 7 x 11 x 383

Step 4: Therefore, the least common multiple of 766 and 770 is 294910.