Least Common Multiple of 763 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 763 and 770 the smallest integer that is 83930 that is divisible by both numbers.

Least Common Multiple (LCM) of 763 and 770 is 83930.

LCM(763,770) = 83930

LCM of 763 and 770

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

LCM of:
and

Least Common Multiple of 763 and 770

LCM of 763 and 770 is 83930

Least common multiple can be found by multiplying the highest exponent prime factors of 763 and 770. First we will calculate the prime factors of 763 and 770.

Prime Factorization of 763


7 763
109 109
1

Prime factors of 763 are 7,109. Prime factorization of 763 in exponential form is:

763 = 71×1091

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 763 and 770.

LCM(763,770) = 21×51×71×111×1091
LCM(763,770) = 83930

Factors of 763

List of positive integer factors of 763 that divides 763 without a remainder.

1, 7, 109, 763

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 763 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 763 and 770, than apply into the LCM equation.

GCF(763,770) = 7
LCM(763,770) = ( 763 × 770) / 7
LCM(763,770) = 587510 / 7
LCM(763,770) = 83930

Properties of LCM 763 and 770

(i) The LCM of 770 and 763 is associative

LCM of 763 and 770 = LCM of 770 and 763

Related Least Common Multiples of 763

Related Least Common Multiples of 770

Frequently Asked Questions on LCM of 763 and 770

1. What is the LCM of 763 and 770?

Answer: LCM of 763 and 770 is 83930.

2. What are the Factors of 763?

Answer: Factors of 763 are 1, 7, 109, 763. There are 4 integers that are factors of 763. The greatest factor of 763 is 763.

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 763 and 770?

Answer:

Least Common Multiple of 763 and 770 = 83930

Step 1: Find the prime factorization of 763

763 = 7 x 109

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 = 83930 = 2 x 5 x 7 x 11 x 109

Step 4: Therefore, the least common multiple of 763 and 770 is 83930.