LCM of 228, 220, 736, 260, 734
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 228, 220, 736, 260, 734 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 228, 220, 736, 260, 734. So, keep reading to learn more.
Given numbers are 228,220,736,260,734
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 228,220,736,260,734 is 11008414560.
Find LCM of 228,220,736,260,734 with Prime Factorization
| 2 | 228, 220, 736, 260, 734 |
| 2 | 114, 110, 368, 130, 367 |
| 5 | 57, 55, 184, 65, 367 |
| 57, 11, 184, 13, 367 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 57 x 11 x 184 x 13 x 367 = 11008414560
Therefore, the lowest common multiple of 228,220,736,260,734 is 11008414560.
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.
228 x 220 x 736 x 260 x 734 = 7045385318400
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.
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
734 : 1, 2, 367, 734
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,220,736,260,734, is 2.
Now, the common factors can be found like this.
228:2x 2x 3x 19
220:2x 2x 5x 11
736:2x 2x 2x 2x 2x 23
260:2x 2x 5x 13
734:2x 367
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 5 = 320
Therefore, the value for common factors is 320.
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 = 7045385318400/(2x320)
LCM = 7045385318400/640
LCM = 11008414560
Thus, we can understand that the LCM of 228,220,736,260,734 is 11008414560.
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FAQs on LCM of 228, 220, 736, 260, 734
1. What is the LCM of 228, 220, 736, 260, 734?
Answer: LCM of 228, 220, 736, 260, 734 is 11008414560.
2. How to calculate the LCM of 228, 220, 736, 260, 734?
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 228, 220, 736, 260, 734.
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}.