LCM of 698, 642, 768, 947, 752
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 698, 642, 768, 947, 752 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 698, 642, 768, 947, 752. So, keep reading to learn more.
Given numbers are 698,642,768,947,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 698,642,768,947,752 is 1276492482816.
Find LCM of 698,642,768,947,752 with Prime Factorization
| 2 | 698, 642, 768, 947, 752 |
| 2 | 349, 321, 384, 947, 376 |
| 2 | 349, 321, 192, 947, 188 |
| 2 | 349, 321, 96, 947, 94 |
| 3 | 349, 321, 48, 947, 47 |
| 349, 107, 16, 947, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 349 x 107 x 16 x 947 x 47 = 1276492482816
Therefore, the lowest common multiple of 698,642,768,947,752 is 1276492482816.
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.
698 x 642 x 768 x 947 x 752 = 245086556700672
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.
698 : 1, 2, 349, 698
642 : 1, 2, 3, 6, 107, 214, 321, 642
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
947 : 1, 947
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,642,768,947,752, is 1.
Now, the common factors can be found like this.
698:2x 349
642:2x 3x 107
768:2x 2x 2x 2x 2x 2x 2x 2x 3
947:947
752:2x 2x 2x 2x 47
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 3 = 192
Therefore, the value for common factors is 192.
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 = 245086556700672/(1x192)
LCM = 245086556700672/192
LCM = 1276492482816
Thus, we can understand that the LCM of 698,642,768,947,752 is 1276492482816.
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FAQs on LCM of 698, 642, 768, 947, 752
1. What is the LCM of 698, 642, 768, 947, 752?
Answer: LCM of 698, 642, 768, 947, 752 is 1276492482816.
2. How to calculate the LCM of 698, 642, 768, 947, 752?
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 698, 642, 768, 947, 752.
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}.