Least Common Multiple of 945 and 950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 945 and 950 the smallest integer that is 179550 that is divisible by both numbers.

Least Common Multiple (LCM) of 945 and 950 is 179550.

LCM(945,950) = 179550

LCM of 945 and 950

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 945 and 950

LCM of 945 and 950 is 179550

Least common multiple can be found by multiplying the highest exponent prime factors of 945 and 950. First we will calculate the prime factors of 945 and 950.

Prime Factorization of 945


3 945
3 315
3 105
5 35
7 7
1

Prime factors of 945 are 3, 5,7. Prime factorization of 945 in exponential form is:

945 = 33×51×71

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

Now multiplying the highest exponent prime factors to calculate the LCM of 945 and 950.

LCM(945,950) = 21×33×52×71×191
LCM(945,950) = 179550

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

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

Least Common Multiple of 945 and 950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 945 and 950, than apply into the LCM equation.

GCF(945,950) = 5
LCM(945,950) = ( 945 × 950) / 5
LCM(945,950) = 897750 / 5
LCM(945,950) = 179550

Properties of LCM 945 and 950

(i) The LCM of 950 and 945 is associative

LCM of 945 and 950 = LCM of 950 and 945

Related Least Common Multiples of 945

Related Least Common Multiples of 950

Frequently Asked Questions on LCM of 945 and 950

1. What is the LCM of 945 and 950?

Answer: LCM of 945 and 950 is 179550.

2. What are the Factors of 945?

Answer: Factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945. There are 16 integers that are factors of 945. The greatest factor of 945 is 945.

3. 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.

4. How to Find the LCM of 945 and 950?

Answer:

Least Common Multiple of 945 and 950 = 179550

Step 1: Find the prime factorization of 945

945 = 3 x 3 x 3 x 5 x 7

Step 2: Find the prime factorization of 950

950 = 2 x 5 x 5 x 19

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 179550 = 2 x 3 x 3 x 3 x 5 x 5 x 7 x 19

Step 4: Therefore, the least common multiple of 945 and 950 is 179550.