Least Common Multiple of 778 and 785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 778 and 785 the smallest integer that is 610730 that is divisible by both numbers.

Least Common Multiple (LCM) of 778 and 785 is 610730.

LCM(778,785) = 610730

LCM of 778 and 785

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

LCM of:
and

Least Common Multiple of 778 and 785

LCM of 778 and 785 is 610730

Least common multiple can be found by multiplying the highest exponent prime factors of 778 and 785. First we will calculate the prime factors of 778 and 785.

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

Prime Factorization of 785


5 785
157 157
1

Prime factors of 785 are 5,157. Prime factorization of 785 in exponential form is:

785 = 51×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 778 and 785.

LCM(778,785) = 21×51×1571×3891
LCM(778,785) = 610730

Factors of 778

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

1, 2, 389, 778

Factors of 785

List of positive integer factors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Least Common Multiple of 778 and 785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 778 and 785, than apply into the LCM equation.

GCF(778,785) = 1
LCM(778,785) = ( 778 × 785) / 1
LCM(778,785) = 610730 / 1
LCM(778,785) = 610730

Properties of LCM 778 and 785

(i) The LCM of 785 and 778 is associative

LCM of 778 and 785 = LCM of 785 and 778

Related Least Common Multiples of 778

Related Least Common Multiples of 785

Frequently Asked Questions on LCM of 778 and 785

1. What is the LCM of 778 and 785?

Answer: LCM of 778 and 785 is 610730.

2. 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.

3. What are the Factors of 785?

Answer: Factors of 785 are 1, 5, 157, 785. There are 4 integers that are factors of 785. The greatest factor of 785 is 785.

4. How to Find the LCM of 778 and 785?

Answer:

Least Common Multiple of 778 and 785 = 610730

Step 1: Find the prime factorization of 778

778 = 2 x 389

Step 2: Find the prime factorization of 785

785 = 5 x 157

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

LCM = 610730 = 2 x 5 x 157 x 389

Step 4: Therefore, the least common multiple of 778 and 785 is 610730.