LCM of 276, 968, 736, 909, 781
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 276, 968, 736, 909, 781 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 276, 968, 736, 909, 781. So, keep reading to learn more.
Given numbers are 276,968,736,909,781
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 276,968,736,909,781 is 5747585184.
Find LCM of 276,968,736,909,781 with Prime Factorization
| 2 | 276, 968, 736, 909, 781 |
| 2 | 138, 484, 368, 909, 781 |
| 2 | 69, 242, 184, 909, 781 |
| 3 | 69, 121, 92, 909, 781 |
| 11 | 23, 121, 92, 303, 781 |
| 23 | 23, 11, 92, 303, 71 |
| 1, 11, 4, 303, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 23 x 1 x 11 x 4 x 303 x 71 = 5747585184
Therefore, the lowest common multiple of 276,968,736,909,781 is 5747585184.
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.
276 x 968 x 736 x 909 x 781 = 139597348948992
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.
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
909 : 1, 3, 9, 101, 303, 909
781 : 1, 11, 71, 781
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,968,736,909,781, is 1.
Now, the common factors can be found like this.
276:2x 2x 3x 23
968:2x 2x 2x 11x 11
736:2x 2x 2x 2x 2x 23
909:3x 3x 101
781:11x 71
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 3x 11x 23 = 24288
Therefore, the value for common factors is 24288.
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 = 139597348948992/(1x24288)
LCM = 139597348948992/24288
LCM = 5747585184
Thus, we can understand that the LCM of 276,968,736,909,781 is 5747585184.
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FAQs on LCM of 276, 968, 736, 909, 781
1. What is the LCM of 276, 968, 736, 909, 781?
Answer: LCM of 276, 968, 736, 909, 781 is 5747585184.
2. How to calculate the LCM of 276, 968, 736, 909, 781?
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 276, 968, 736, 909, 781.
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}.