Least Common Multiple of 770 and 778

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 778 the smallest integer that is 299530 that is divisible by both numbers.

Least Common Multiple (LCM) of 770 and 778 is 299530.

LCM(770,778) = 299530

LCM of 770 and 778

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

LCM of:
and

Least Common Multiple of 770 and 778

LCM of 770 and 778 is 299530

Least common multiple can be found by multiplying the highest exponent prime factors of 770 and 778. First we will calculate the prime factors of 770 and 778.

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 778


2 778
389 389
1

Prime factors of 778 are 2,389. Prime factorization of 778 in exponential form is:

778 = 21×3891

Now multiplying the highest exponent prime factors to calculate the LCM of 770 and 778.

LCM(770,778) = 21×51×71×111×3891
LCM(770,778) = 299530

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 778

List of positive integer factors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Least Common Multiple of 770 and 778 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 778, than apply into the LCM equation.

GCF(770,778) = 2
LCM(770,778) = ( 770 × 778) / 2
LCM(770,778) = 599060 / 2
LCM(770,778) = 299530

Properties of LCM 770 and 778

(i) The LCM of 778 and 770 is associative

LCM of 770 and 778 = LCM of 778 and 770

Related Least Common Multiples of 770

Related Least Common Multiples of 778

Frequently Asked Questions on LCM of 770 and 778

1. What is the LCM of 770 and 778?

Answer: LCM of 770 and 778 is 299530.

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 778?

Answer: Factors of 778 are 1, 2, 389, 778. There are 4 integers that are factors of 778. The greatest factor of 778 is 778.

4. How to Find the LCM of 770 and 778?

Answer:

Least Common Multiple of 770 and 778 = 299530

Step 1: Find the prime factorization of 770

770 = 2 x 5 x 7 x 11

Step 2: Find the prime factorization of 778

778 = 2 x 389

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

LCM = 299530 = 2 x 5 x 7 x 11 x 389

Step 4: Therefore, the least common multiple of 770 and 778 is 299530.