LCM of 780, 735, 786, 748, 100
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 780, 735, 786, 748, 100 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 780, 735, 786, 748, 100. So, keep reading to learn more.
Given numbers are 780,735,786,748,100
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 780,735,786,748,100 is 4681376700.
Find LCM of 780,735,786,748,100 with Prime Factorization
| 2 | 780, 735, 786, 748, 100 |
| 2 | 390, 735, 393, 374, 50 |
| 3 | 195, 735, 393, 187, 25 |
| 5 | 65, 245, 131, 187, 25 |
| 13, 49, 131, 187, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 49 x 131 x 187 x 5 = 4681376700
Therefore, the lowest common multiple of 780,735,786,748,100 is 4681376700.
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.
780 x 735 x 786 x 748 x 100 = 33705912240000
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.
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
786 : 1, 2, 3, 6, 131, 262, 393, 786
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,735,786,748,100, is 1.
Now, the common factors can be found like this.
780:2x 2x 3x 5x 13
735:3x 5x 7x 7
786:2x 3x 131
748:2x 2x 11x 17
100:2x 2x 5x 5
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 3x 5x 5 = 7200
Therefore, the value for common factors is 7200.
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 = 33705912240000/(1x7200)
LCM = 33705912240000/7200
LCM = 4681376700
Thus, we can understand that the LCM of 780,735,786,748,100 is 4681376700.
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FAQs on LCM of 780, 735, 786, 748, 100
1. What is the LCM of 780, 735, 786, 748, 100?
Answer: LCM of 780, 735, 786, 748, 100 is 4681376700.
2. How to calculate the LCM of 780, 735, 786, 748, 100?
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 780, 735, 786, 748, 100.
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}.