Least Common Multiple of 777 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 777 and 785 the smallest integer that is 609945 that is divisible by both numbers.
Least Common Multiple (LCM) of 777 and 785 is 609945.
LCM(777,785) = 609945
LCM of 777 and 785
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 777 and 785 by Prime method
- Least Common Multiple of 777 and 785 with GCF Formula
LCM of 777 and 785 is 609945
Least common multiple can be found by multiplying the highest exponent prime factors of 777 and 785. First we will calculate the prime factors of 777 and 785.
Prime Factorization of 777
| 3 | 777 |
| 7 | 259 |
| 37 | 37 |
| 1 |
Prime factors of 777 are 3, 7,37. Prime factorization of 777 in exponential form is:
777 = 31×71×371
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 777 and 785.
LCM(777,785) = 31×51×71×371×1571
LCM(777,785) = 609945
Factors of 777
List of positive integer factors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Factors of 785
List of positive integer factors of 785 that divides 785 without a remainder.
1, 5, 157, 785
Least Common Multiple of 777 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 777 and 785, than apply into the LCM equation.
GCF(777,785) = 1
LCM(777,785) = ( 777 × 785) / 1
LCM(777,785) = 609945 / 1
LCM(777,785) = 609945
Properties of LCM 777 and 785
(i) The LCM of 785 and 777 is associative
LCM of 777 and 785 = LCM of 785 and 777
Related Least Common Multiples of 777
Related Least Common Multiples of 785
Frequently Asked Questions on LCM of 777 and 785
1. What is the LCM of 777 and 785?
Answer: LCM of 777 and 785 is 609945.
2. What are the Factors of 777?
Answer: Factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777. There are 8 integers that are factors of 777. The greatest factor of 777 is 777.
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 777 and 785?
Answer:
Least Common Multiple of 777 and 785 = 609945
Step 1: Find the prime factorization of 777
777 = 3 x 7 x 37
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 = 609945 = 3 x 5 x 7 x 37 x 157
Step 4: Therefore, the least common multiple of 777 and 785 is 609945.
