LCM of 784, 867, 714, 374, 102
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 867, 714, 374, 102 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 784, 867, 714, 374, 102. So, keep reading to learn more.
Given numbers are 784,867,714,374,102
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,867,714,374,102 is 7477008.
Find LCM of 784,867,714,374,102 with Prime Factorization
| 2 | 784, 867, 714, 374, 102 |
| 3 | 392, 867, 357, 187, 51 |
| 7 | 392, 289, 119, 187, 17 |
| 17 | 56, 289, 17, 187, 17 |
| 56, 1, 1, 11, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 17 x 56 x 1 x 1 x 11 x 17 = 7477008
Therefore, the lowest common multiple of 784,867,714,374,102 is 7477008.
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.
784 x 867 x 714 x 374 x 102 = 18514208313216
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.
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
867 : 1, 3, 17, 51, 289, 867
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
374 : 1, 2, 11, 17, 22, 34, 187, 374
102 : 1, 2, 3, 6, 17, 34, 51, 102
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,867,714,374,102, is 1.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
867:3x 17x 17
714:2x 3x 7x 17
374:2x 11x 17
102:2x 3x 17
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 3x 7x 17x 17x 17 = 2476152
Therefore, the value for common factors is 2476152.
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 = 18514208313216/(1x2476152)
LCM = 18514208313216/2476152
LCM = 7477008
Thus, we can understand that the LCM of 784,867,714,374,102 is 7477008.
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FAQs on LCM of 784, 867, 714, 374, 102
1. What is the LCM of 784, 867, 714, 374, 102?
Answer: LCM of 784, 867, 714, 374, 102 is 7477008.
2. How to calculate the LCM of 784, 867, 714, 374, 102?
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 784, 867, 714, 374, 102.
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}.