Least Common Multiple of 783 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 783 and 790 the smallest integer that is 618570 that is divisible by both numbers.
Least Common Multiple (LCM) of 783 and 790 is 618570.
LCM(783,790) = 618570
LCM of 783 and 790
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 783 and 790 by Prime method
- Least Common Multiple of 783 and 790 with GCF Formula
LCM of 783 and 790 is 618570
Least common multiple can be found by multiplying the highest exponent prime factors of 783 and 790. First we will calculate the prime factors of 783 and 790.
Prime Factorization of 783
| 3 | 783 |
| 3 | 261 |
| 3 | 87 |
| 29 | 29 |
| 1 |
Prime factors of 783 are 3,29. Prime factorization of 783 in exponential form is:
783 = 33×291
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 783 and 790.
LCM(783,790) = 21×33×51×291×791
LCM(783,790) = 618570
Factors of 783
List of positive integer factors of 783 that divides 783 without a remainder.
1, 3, 9, 27, 29, 87, 261, 783
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 783 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 783 and 790, than apply into the LCM equation.
GCF(783,790) = 1
LCM(783,790) = ( 783 × 790) / 1
LCM(783,790) = 618570 / 1
LCM(783,790) = 618570
Properties of LCM 783 and 790
(i) The LCM of 790 and 783 is associative
LCM of 783 and 790 = LCM of 790 and 783
Related Least Common Multiples of 783
Related Least Common Multiples of 790
Frequently Asked Questions on LCM of 783 and 790
1. What is the LCM of 783 and 790?
Answer: LCM of 783 and 790 is 618570.
2. What are the Factors of 783?
Answer: Factors of 783 are 1, 3, 9, 27, 29, 87, 261, 783. There are 8 integers that are factors of 783. The greatest factor of 783 is 783.
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 783 and 790?
Answer:
Least Common Multiple of 783 and 790 = 618570
Step 1: Find the prime factorization of 783
783 = 3 x 3 x 3 x 29
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 = 618570 = 2 x 3 x 3 x 3 x 5 x 29 x 79
Step 4: Therefore, the least common multiple of 783 and 790 is 618570.