Least Common Multiple of 785 and 790

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 785 and 790 the smallest integer that is 124030 that is divisible by both numbers.

Least Common Multiple (LCM) of 785 and 790 is 124030.

LCM(785,790) = 124030

LCM of 785 and 790

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

LCM of:
and

Least Common Multiple of 785 and 790

LCM of 785 and 790 is 124030

Least common multiple can be found by multiplying the highest exponent prime factors of 785 and 790. First we will calculate the prime factors of 785 and 790.

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

Prime Factorization of 790


2 790
5 395
79 79
1

Prime factors of 790 are 2, 5,79. Prime factorization of 790 in exponential form is:

790 = 21×51×791

Now multiplying the highest exponent prime factors to calculate the LCM of 785 and 790.

LCM(785,790) = 21×51×791×1571
LCM(785,790) = 124030

Factors of 785

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

1, 5, 157, 785

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Least Common Multiple of 785 and 790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 785 and 790, than apply into the LCM equation.

GCF(785,790) = 5
LCM(785,790) = ( 785 × 790) / 5
LCM(785,790) = 620150 / 5
LCM(785,790) = 124030

Properties of LCM 785 and 790

(i) The LCM of 790 and 785 is associative

LCM of 785 and 790 = LCM of 790 and 785

Related Least Common Multiples of 785

Related Least Common Multiples of 790

Frequently Asked Questions on LCM of 785 and 790

1. What is the LCM of 785 and 790?

Answer: LCM of 785 and 790 is 124030.

2. 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.

3. What are the Factors of 790?

Answer: Factors of 790 are 1, 2, 5, 10, 79, 158, 395, 790. There are 8 integers that are factors of 790. The greatest factor of 790 is 790.

4. How to Find the LCM of 785 and 790?

Answer:

Least Common Multiple of 785 and 790 = 124030

Step 1: Find the prime factorization of 785

785 = 5 x 157

Step 2: Find the prime factorization of 790

790 = 2 x 5 x 79

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

LCM = 124030 = 2 x 5 x 79 x 157

Step 4: Therefore, the least common multiple of 785 and 790 is 124030.