LCM of 491, 360, 624, 120, 948
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 491, 360, 624, 120, 948 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 491, 360, 624, 120, 948. So, keep reading to learn more.
Given numbers are 491,360,624,120,948
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 491,360,624,120,948 is 363065040.
Find LCM of 491,360,624,120,948 with Prime Factorization
| 2 | 491, 360, 624, 120, 948 |
| 2 | 491, 180, 312, 60, 474 |
| 2 | 491, 90, 156, 30, 237 |
| 3 | 491, 45, 78, 15, 237 |
| 5 | 491, 5, 26, 15, 79 |
| 491, 1, 26, 3, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 491 x 1 x 26 x 3 x 79 = 363065040
Therefore, the lowest common multiple of 491,360,624,120,948 is 363065040.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
491 x 360 x 624 x 120 x 948 = 12547527782400
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
491 : 1, 491
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,360,624,120,948, is 1.
Now, the common factors can be found like this.
491:491
360:2x 2x 2x 3x 3x 5
624:2x 2x 2x 2x 3x 13
120:2x 2x 2x 3x 5
948:2x 2x 3x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 2x 2x 3x 3x 3x 5 = 34560
Therefore, the value for common factors is 34560.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 12547527782400/(1x34560)
LCM = 12547527782400/34560
LCM = 363065040
Thus, we can understand that the LCM of 491,360,624,120,948 is 363065040.
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FAQs on LCM of 491, 360, 624, 120, 948
1. What is the LCM of 491, 360, 624, 120, 948?
Answer: LCM of 491, 360, 624, 120, 948 is 363065040.
2. How to calculate the LCM of 491, 360, 624, 120, 948?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 491, 360, 624, 120, 948.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.