LCM of 607, 400, 586, 669, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 607, 400, 586, 669, 900 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 607, 400, 586, 669, 900. So, keep reading to learn more.
Given numbers are 607,400,586,669,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 607,400,586,669,900 is 142778782800.
Find LCM of 607,400,586,669,900 with Prime Factorization
| 2 | 607, 400, 586, 669, 900 |
| 2 | 607, 200, 293, 669, 450 |
| 3 | 607, 100, 293, 669, 225 |
| 5 | 607, 100, 293, 223, 75 |
| 5 | 607, 20, 293, 223, 15 |
| 607, 4, 293, 223, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 5 x 607 x 4 x 293 x 223 x 3 = 142778782800
Therefore, the lowest common multiple of 607,400,586,669,900 is 142778782800.
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.
607 x 400 x 586 x 669 x 900 = 85667269680000
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.
607 : 1, 607
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
586 : 1, 2, 293, 586
669 : 1, 3, 223, 669
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 607,400,586,669,900, is 1.
Now, the common factors can be found like this.
607:607
400:2x 2x 2x 2x 5x 5
586:2x 293
669:3x 223
900:2x 2x 3x 3x 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 3x 5x 5 = 600
Therefore, the value for common factors is 600.
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 = 85667269680000/(1x600)
LCM = 85667269680000/600
LCM = 142778782800
Thus, we can understand that the LCM of 607,400,586,669,900 is 142778782800.
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FAQs on LCM of 607, 400, 586, 669, 900
1. What is the LCM of 607, 400, 586, 669, 900?
Answer: LCM of 607, 400, 586, 669, 900 is 142778782800.
2. How to calculate the LCM of 607, 400, 586, 669, 900?
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 607, 400, 586, 669, 900.
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}.