Least Common Multiple of 470 and 477
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 470 and 477 the smallest integer that is 224190 that is divisible by both numbers.
Least Common Multiple (LCM) of 470 and 477 is 224190.
LCM(470,477) = 224190
LCM of 470 and 477
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 470 and 477 by Prime method
- Least Common Multiple of 470 and 477 with GCF Formula
LCM of 470 and 477 is 224190
Least common multiple can be found by multiplying the highest exponent prime factors of 470 and 477. First we will calculate the prime factors of 470 and 477.
Prime Factorization of 470
| 2 | 470 |
| 5 | 235 |
| 47 | 47 |
| 1 |
Prime factors of 470 are 2, 5,47. Prime factorization of 470 in exponential form is:
470 = 21×51×471
Prime Factorization of 477
| 3 | 477 |
| 3 | 159 |
| 53 | 53 |
| 1 |
Prime factors of 477 are 3,53. Prime factorization of 477 in exponential form is:
477 = 32×531
Now multiplying the highest exponent prime factors to calculate the LCM of 470 and 477.
LCM(470,477) = 21×32×51×471×531
LCM(470,477) = 224190
Factors of 470
List of positive integer factors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Factors of 477
List of positive integer factors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Least Common Multiple of 470 and 477 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 470 and 477, than apply into the LCM equation.
GCF(470,477) = 1
LCM(470,477) = ( 470 × 477) / 1
LCM(470,477) = 224190 / 1
LCM(470,477) = 224190
Properties of LCM 470 and 477
(i) The LCM of 477 and 470 is associative
LCM of 470 and 477 = LCM of 477 and 470
Related Least Common Multiples of 470
Related Least Common Multiples of 477
Frequently Asked Questions on LCM of 470 and 477
1. What is the LCM of 470 and 477?
Answer: LCM of 470 and 477 is 224190.
2. What are the Factors of 470?
Answer: Factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470. There are 8 integers that are factors of 470. The greatest factor of 470 is 470.
3. What are the Factors of 477?
Answer: Factors of 477 are 1, 3, 9, 53, 159, 477. There are 6 integers that are factors of 477. The greatest factor of 477 is 477.
4. How to Find the LCM of 470 and 477?
Answer:
Least Common Multiple of 470 and 477 = 224190
Step 1: Find the prime factorization of 470
470 = 2 x 5 x 47
Step 2: Find the prime factorization of 477
477 = 3 x 3 x 53
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 224190 = 2 x 3 x 3 x 5 x 47 x 53
Step 4: Therefore, the least common multiple of 470 and 477 is 224190.