LCM of 607, 210, 264, 350, 624
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 607, 210, 264, 350, 624 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, 210, 264, 350, 624. So, keep reading to learn more.
Given numbers are 607,210,264,350,624
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 607,210,264,350,624 is 729128400.
Find LCM of 607,210,264,350,624 with Prime Factorization
| 2 | 607, 210, 264, 350, 624 |
| 2 | 607, 105, 132, 175, 312 |
| 2 | 607, 105, 66, 175, 156 |
| 3 | 607, 105, 33, 175, 78 |
| 5 | 607, 35, 11, 175, 26 |
| 7 | 607, 7, 11, 35, 26 |
| 607, 1, 11, 5, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 607 x 1 x 11 x 5 x 26 = 729128400
Therefore, the lowest common multiple of 607,210,264,350,624 is 729128400.
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 210 x 264 x 350 x 624 = 7349614272000
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
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 607,210,264,350,624, is 1.
Now, the common factors can be found like this.
607:607
210:2x 3x 5x 7
264:2x 2x 2x 3x 11
350:2x 5x 5x 7
624:2x 2x 2x 2x 3x 13
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 3x 3x 5x 7 = 10080
Therefore, the value for common factors is 10080.
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 = 7349614272000/(1x10080)
LCM = 7349614272000/10080
LCM = 729128400
Thus, we can understand that the LCM of 607,210,264,350,624 is 729128400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 607, 210, 264, 350, 624
1. What is the LCM of 607, 210, 264, 350, 624?
Answer: LCM of 607, 210, 264, 350, 624 is 729128400.
2. How to calculate the LCM of 607, 210, 264, 350, 624?
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, 210, 264, 350, 624.
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}.