Least Common Multiple of 950 and 951
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 950 and 951 the smallest integer that is 903450 that is divisible by both numbers.
Least Common Multiple (LCM) of 950 and 951 is 903450.
LCM(950,951) = 903450
LCM of 950 and 951
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 950 and 951 by Prime method
- Least Common Multiple of 950 and 951 with GCF Formula
LCM of 950 and 951 is 903450
Least common multiple can be found by multiplying the highest exponent prime factors of 950 and 951. First we will calculate the prime factors of 950 and 951.
Prime Factorization of 950
| 2 | 950 |
| 5 | 475 |
| 5 | 95 |
| 19 | 19 |
| 1 |
Prime factors of 950 are 2, 5,19. Prime factorization of 950 in exponential form is:
950 = 21×52×191
Prime Factorization of 951
| 3 | 951 |
| 317 | 317 |
| 1 |
Prime factors of 951 are 3,317. Prime factorization of 951 in exponential form is:
951 = 31×3171
Now multiplying the highest exponent prime factors to calculate the LCM of 950 and 951.
LCM(950,951) = 21×31×52×191×3171
LCM(950,951) = 903450
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1, 3, 317, 951
Least Common Multiple of 950 and 951 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 950 and 951, than apply into the LCM equation.
GCF(950,951) = 1
LCM(950,951) = ( 950 × 951) / 1
LCM(950,951) = 903450 / 1
LCM(950,951) = 903450
Properties of LCM 950 and 951
(i) The LCM of 951 and 950 is associative
LCM of 950 and 951 = LCM of 951 and 950
Related Least Common Multiples of 950
Related Least Common Multiples of 951
Frequently Asked Questions on LCM of 950 and 951
1. What is the LCM of 950 and 951?
Answer: LCM of 950 and 951 is 903450.
2. What are the Factors of 950?
Answer: Factors of 950 are 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950. There are 12 integers that are factors of 950. The greatest factor of 950 is 950.
3. What are the Factors of 951?
Answer: Factors of 951 are 1, 3, 317, 951. There are 4 integers that are factors of 951. The greatest factor of 951 is 951.
4. How to Find the LCM of 950 and 951?
Answer:
Least Common Multiple of 950 and 951 = 903450
Step 1: Find the prime factorization of 950
950 = 2 x 5 x 5 x 19
Step 2: Find the prime factorization of 951
951 = 3 x 317
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 903450 = 2 x 3 x 5 x 5 x 19 x 317
Step 4: Therefore, the least common multiple of 950 and 951 is 903450.
