LCM of 247, 220, 795, 968, 735
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 247, 220, 795, 968, 735 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 247, 220, 795, 968, 735. So, keep reading to learn more.
Given numbers are 247,220,795,968,735
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,220,795,968,735 is 9313984680.
Find LCM of 247,220,795,968,735 with Prime Factorization
| 2 | 247, 220, 795, 968, 735 |
| 2 | 247, 110, 795, 484, 735 |
| 3 | 247, 55, 795, 242, 735 |
| 5 | 247, 55, 265, 242, 245 |
| 11 | 247, 11, 53, 242, 49 |
| 247, 1, 53, 22, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 247 x 1 x 53 x 22 x 49 = 9313984680
Therefore, the lowest common multiple of 247,220,795,968,735 is 9313984680.
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.
247 x 220 x 795 x 968 x 735 = 30736149444000
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.
247 : 1, 13, 19, 247
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
795 : 1, 3, 5, 15, 53, 159, 265, 795
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,220,795,968,735, is 1.
Now, the common factors can be found like this.
247:13x 19
220:2x 2x 5x 11
795:3x 5x 53
968:2x 2x 2x 11x 11
735:3x 5x 7x 7
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 3x 5x 5x 11 = 3300
Therefore, the value for common factors is 3300.
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 = 30736149444000/(1x3300)
LCM = 30736149444000/3300
LCM = 9313984680
Thus, we can understand that the LCM of 247,220,795,968,735 is 9313984680.
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FAQs on LCM of 247, 220, 795, 968, 735
1. What is the LCM of 247, 220, 795, 968, 735?
Answer: LCM of 247, 220, 795, 968, 735 is 9313984680.
2. How to calculate the LCM of 247, 220, 795, 968, 735?
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 247, 220, 795, 968, 735.
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}.