Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 940 and 948 the smallest integer that is 222780 that is divisible by both numbers.
Least Common Multiple (LCM) of 940 and 948 is 222780.
LCM(940,948) = 222780
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 940 and 948. First we will calculate the prime factors of 940 and 948.
Prime Factorization of 940
2 | 940 |
2 | 470 |
5 | 235 |
47 | 47 |
1 |
Prime factors of 940 are 2, 5,47. Prime factorization of 940 in exponential form is:
940 = 22×51×471
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
Now multiplying the highest exponent prime factors to calculate the LCM of 940 and 948.
LCM(940,948) = 22×31×51×471×791
LCM(940,948) = 222780
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 940 and 948, than apply into the LCM equation.
GCF(940,948) = 4
LCM(940,948) = ( 940 × 948) / 4
LCM(940,948) = 891120 / 4
LCM(940,948) = 222780
(i) The LCM of 948 and 940 is associative
LCM of 940 and 948 = LCM of 948 and 940
1. What is the LCM of 940 and 948?
Answer: LCM of 940 and 948 is 222780.
2. What are the Factors of 940?
Answer: Factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940. There are 12 integers that are factors of 940. The greatest factor of 940 is 940.
3. 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.
4. How to Find the LCM of 940 and 948?
Answer:
Least Common Multiple of 940 and 948 = 222780
Step 1: Find the prime factorization of 940
940 = 2 x 2 x 5 x 47
Step 2: Find the prime factorization of 948
948 = 2 x 2 x 3 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 222780 = 2 x 2 x 3 x 5 x 47 x 79
Step 4: Therefore, the least common multiple of 940 and 948 is 222780.