LCM of 986, 840, 780, 700, 101
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 986, 840, 780, 700, 101 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 986, 840, 780, 700, 101. So, keep reading to learn more.
Given numbers are 986,840,780,700,101
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 986,840,780,700,101 is 2718697800.
Find LCM of 986,840,780,700,101 with Prime Factorization
| 2 | 986, 840, 780, 700, 101 |
| 2 | 493, 420, 390, 350, 101 |
| 3 | 493, 210, 195, 175, 101 |
| 5 | 493, 70, 65, 175, 101 |
| 7 | 493, 14, 13, 35, 101 |
| 493, 2, 13, 5, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 493 x 2 x 13 x 5 x 101 = 2718697800
Therefore, the lowest common multiple of 986,840,780,700,101 is 2718697800.
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.
986 x 840 x 780 x 700 x 101 = 45674123040000
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.
986 : 1, 2, 17, 29, 34, 58, 493, 986
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
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
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
101 : 1, 101
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,840,780,700,101, is 1.
Now, the common factors can be found like this.
986:2x 17x 29
840:2x 2x 2x 3x 5x 7
780:2x 2x 3x 5x 13
700:2x 2x 5x 5x 7
101:101
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 5x 5x 7 = 16800
Therefore, the value for common factors is 16800.
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 = 45674123040000/(1x16800)
LCM = 45674123040000/16800
LCM = 2718697800
Thus, we can understand that the LCM of 986,840,780,700,101 is 2718697800.
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FAQs on LCM of 986, 840, 780, 700, 101
1. What is the LCM of 986, 840, 780, 700, 101?
Answer: LCM of 986, 840, 780, 700, 101 is 2718697800.
2. How to calculate the LCM of 986, 840, 780, 700, 101?
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 986, 840, 780, 700, 101.
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}.