LCM of 724, 610, 708, 915
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 724, 610, 708, 915 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 724, 610, 708, 915. So, keep reading to learn more.
Given numbers are 724,610,708,915
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 724,610,708,915 is 39085140.
Find LCM of 724,610,708,915 with Prime Factorization
| 2 | 724, 610, 708, 915 |
| 2 | 362, 305, 354, 915 |
| 3 | 181, 305, 177, 915 |
| 5 | 181, 305, 59, 305 |
| 61 | 181, 61, 59, 61 |
| 181, 1, 59, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 61 x 181 x 1 x 59 x 1 = 39085140
Therefore, the lowest common multiple of 724,610,708,915 is 39085140.
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.
724 x 610 x 708 x 915 = 286103224800
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.
724 : 1, 2, 4, 181, 362, 724
610 : 1, 2, 5, 10, 61, 122, 305, 610
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
915 : 1, 3, 5, 15, 61, 183, 305, 915
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,610,708,915, is 1.
Now, the common factors can be found like this.
724:2x 2x 181
610:2x 5x 61
708:2x 2x 3x 59
915:3x 5x 61
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 61 = 7320
Therefore, the value for common factors is 7320.
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 = 286103224800/(1x7320)
LCM = 286103224800/7320
LCM = 39085140
Thus, we can understand that the LCM of 724,610,708,915 is 39085140.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 724, 610, 708, 915
1. What is the LCM of 724, 610, 708, 915?
Answer: LCM of 724, 610, 708, 915 is 39085140.
2. How to calculate the LCM of 724, 610, 708, 915?
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 724, 610, 708, 915.
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}.