Least Common Multiple of 948 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 948 and 950 the smallest integer that is 450300 that is divisible by both numbers.

Least Common Multiple (LCM) of 948 and 950 is 450300.

LCM(948,950) = 450300

LCM of 948 and 950

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

LCM of:
and

Least Common Multiple of 948 and 950

LCM of 948 and 950 is 450300

Least common multiple can be found by multiplying the highest exponent prime factors of 948 and 950. First we will calculate the prime factors of 948 and 950.

Prime Factorization of 948


2 948
2 474
3 237
79 79
1

Prime factors of 948 are 2, 3,79. Prime factorization of 948 in exponential form is:

948 = 22×31×791

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 948 and 950.

LCM(948,950) = 22×31×52×191×791
LCM(948,950) = 450300

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

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 948 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 948 and 950, than apply into the LCM equation.

GCF(948,950) = 2
LCM(948,950) = ( 948 × 950) / 2
LCM(948,950) = 900600 / 2
LCM(948,950) = 450300

Properties of LCM 948 and 950

(i) The LCM of 950 and 948 is associative

LCM of 948 and 950 = LCM of 950 and 948

Related Least Common Multiples of 948

Related Least Common Multiples of 950

Frequently Asked Questions on LCM of 948 and 950

1. What is the LCM of 948 and 950?

Answer: LCM of 948 and 950 is 450300.

2. What are the Factors of 948?

Answer: Factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948. There are 12 integers that are factors of 948. The greatest factor of 948 is 948.

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 948 and 950?

Answer:

Least Common Multiple of 948 and 950 = 450300

Step 1: Find the prime factorization of 948

948 = 2 x 2 x 3 x 79

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 = 450300 = 2 x 2 x 3 x 5 x 5 x 19 x 79

Step 4: Therefore, the least common multiple of 948 and 950 is 450300.