Least Common Multiple of 774 and 781
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 774 and 781 the smallest integer that is 604494 that is divisible by both numbers.
Least Common Multiple (LCM) of 774 and 781 is 604494.
LCM(774,781) = 604494
LCM of 774 and 781
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 774 and 781 by Prime method
- Least Common Multiple of 774 and 781 with GCF Formula
LCM of 774 and 781 is 604494
Least common multiple can be found by multiplying the highest exponent prime factors of 774 and 781. First we will calculate the prime factors of 774 and 781.
Prime Factorization of 774
| 2 | 774 |
| 3 | 387 |
| 3 | 129 |
| 43 | 43 |
| 1 |
Prime factors of 774 are 2, 3,43. Prime factorization of 774 in exponential form is:
774 = 21×32×431
Prime Factorization of 781
| 11 | 781 |
| 71 | 71 |
| 1 |
Prime factors of 781 are 11,71. Prime factorization of 781 in exponential form is:
781 = 111×711
Now multiplying the highest exponent prime factors to calculate the LCM of 774 and 781.
LCM(774,781) = 21×32×111×431×711
LCM(774,781) = 604494
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1, 11, 71, 781
Least Common Multiple of 774 and 781 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 774 and 781, than apply into the LCM equation.
GCF(774,781) = 1
LCM(774,781) = ( 774 × 781) / 1
LCM(774,781) = 604494 / 1
LCM(774,781) = 604494
Properties of LCM 774 and 781
(i) The LCM of 781 and 774 is associative
LCM of 774 and 781 = LCM of 781 and 774
Related Least Common Multiples of 774
Related Least Common Multiples of 781
Frequently Asked Questions on LCM of 774 and 781
1. What is the LCM of 774 and 781?
Answer: LCM of 774 and 781 is 604494.
2. What are the Factors of 774?
Answer: Factors of 774 are 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774. There are 12 integers that are factors of 774. The greatest factor of 774 is 774.
3. What are the Factors of 781?
Answer: Factors of 781 are 1, 11, 71, 781. There are 4 integers that are factors of 781. The greatest factor of 781 is 781.
4. How to Find the LCM of 774 and 781?
Answer:
Least Common Multiple of 774 and 781 = 604494
Step 1: Find the prime factorization of 774
774 = 2 x 3 x 3 x 43
Step 2: Find the prime factorization of 781
781 = 11 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 604494 = 2 x 3 x 3 x 11 x 43 x 71
Step 4: Therefore, the least common multiple of 774 and 781 is 604494.