Least Common Multiple of 946 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 946 and 950 the smallest integer that is 449350 that is divisible by both numbers.

Least Common Multiple (LCM) of 946 and 950 is 449350.

LCM(946,950) = 449350

LCM of 946 and 950

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

LCM of:
and

Least Common Multiple of 946 and 950

LCM of 946 and 950 is 449350

Least common multiple can be found by multiplying the highest exponent prime factors of 946 and 950. First we will calculate the prime factors of 946 and 950.

Prime Factorization of 946


2 946
11 473
43 43
1

Prime factors of 946 are 2, 11,43. Prime factorization of 946 in exponential form is:

946 = 21×111×431

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 946 and 950.

LCM(946,950) = 21×52×111×191×431
LCM(946,950) = 449350

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

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 946 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 946 and 950, than apply into the LCM equation.

GCF(946,950) = 2
LCM(946,950) = ( 946 × 950) / 2
LCM(946,950) = 898700 / 2
LCM(946,950) = 449350

Properties of LCM 946 and 950

(i) The LCM of 950 and 946 is associative

LCM of 946 and 950 = LCM of 950 and 946

Related Least Common Multiples of 946

Related Least Common Multiples of 950

Frequently Asked Questions on LCM of 946 and 950

1. What is the LCM of 946 and 950?

Answer: LCM of 946 and 950 is 449350.

2. What are the Factors of 946?

Answer: Factors of 946 are 1, 2, 11, 22, 43, 86, 473, 946. There are 8 integers that are factors of 946. The greatest factor of 946 is 946.

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 946 and 950?

Answer:

Least Common Multiple of 946 and 950 = 449350

Step 1: Find the prime factorization of 946

946 = 2 x 11 x 43

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 = 449350 = 2 x 5 x 5 x 11 x 19 x 43

Step 4: Therefore, the least common multiple of 946 and 950 is 449350.