LCM of 624, 748, 374, 400
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 624, 748, 374, 400 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 624, 748, 374, 400. So, keep reading to learn more.
Given numbers are 624,748,374,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 624,748,374,400 is 2917200.
Find LCM of 624,748,374,400 with Prime Factorization
| 2 | 624, 748, 374, 400 |
| 2 | 312, 374, 187, 200 |
| 2 | 156, 187, 187, 100 |
| 2 | 78, 187, 187, 50 |
| 11 | 39, 187, 187, 25 |
| 17 | 39, 17, 17, 25 |
| 39, 1, 1, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 17 x 39 x 1 x 1 x 25 = 2917200
Therefore, the lowest common multiple of 624,748,374,400 is 2917200.
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.
624 x 748 x 374 x 400 = 69826099200
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.
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
374 : 1, 2, 11, 17, 22, 34, 187, 374
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,748,374,400, is 2.
Now, the common factors can be found like this.
624:2x 2x 2x 2x 3x 13
748:2x 2x 11x 17
374:2x 11x 17
400:2x 2x 2x 2x 5x 5
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 11x 17 = 11968
Therefore, the value for common factors is 11968.
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 = 69826099200/(2x11968)
LCM = 69826099200/23936
LCM = 2917200
Thus, we can understand that the LCM of 624,748,374,400 is 2917200.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 624, 748, 374, 400
1. What is the LCM of 624, 748, 374, 400?
Answer: LCM of 624, 748, 374, 400 is 2917200.
2. How to calculate the LCM of 624, 748, 374, 400?
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 624, 748, 374, 400.
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}.