Least Common Multiple of 764 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 764 and 770 the smallest integer that is 294140 that is divisible by both numbers.

Least Common Multiple (LCM) of 764 and 770 is 294140.

LCM(764,770) = 294140

LCM of 764 and 770

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

LCM of:
and

Least Common Multiple of 764 and 770

LCM of 764 and 770 is 294140

Least common multiple can be found by multiplying the highest exponent prime factors of 764 and 770. First we will calculate the prime factors of 764 and 770.

Prime Factorization of 764


2 764
2 382
191 191
1

Prime factors of 764 are 2,191. Prime factorization of 764 in exponential form is:

764 = 22×1911

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 764 and 770.

LCM(764,770) = 22×51×71×111×1911
LCM(764,770) = 294140

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

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 764 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 764 and 770, than apply into the LCM equation.

GCF(764,770) = 2
LCM(764,770) = ( 764 × 770) / 2
LCM(764,770) = 588280 / 2
LCM(764,770) = 294140

Properties of LCM 764 and 770

(i) The LCM of 770 and 764 is associative

LCM of 764 and 770 = LCM of 770 and 764

Related Least Common Multiples of 764

Related Least Common Multiples of 770

Frequently Asked Questions on LCM of 764 and 770

1. What is the LCM of 764 and 770?

Answer: LCM of 764 and 770 is 294140.

2. What are the Factors of 764?

Answer: Factors of 764 are 1, 2, 4, 191, 382, 764. There are 6 integers that are factors of 764. The greatest factor of 764 is 764.

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 764 and 770?

Answer:

Least Common Multiple of 764 and 770 = 294140

Step 1: Find the prime factorization of 764

764 = 2 x 2 x 191

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 = 294140 = 2 x 2 x 5 x 7 x 11 x 191

Step 4: Therefore, the least common multiple of 764 and 770 is 294140.