LCM of 761, 840, 616, 784
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 761, 840, 616, 784 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 761, 840, 616, 784. So, keep reading to learn more.
Given numbers are 761,840,616,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 761,840,616,784 is 98442960.
Find LCM of 761,840,616,784 with Prime Factorization
| 2 | 761, 840, 616, 784 |
| 2 | 761, 420, 308, 392 |
| 2 | 761, 210, 154, 196 |
| 7 | 761, 105, 77, 98 |
| 761, 15, 11, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 761 x 15 x 11 x 14 = 98442960
Therefore, the lowest common multiple of 761,840,616,784 is 98442960.
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.
761 x 840 x 616 x 784 = 308717122560
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.
761 : 1, 761
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
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 761,840,616,784, is 1.
Now, the common factors can be found like this.
761:761
840:2x 2x 2x 3x 5x 7
616:2x 2x 2x 7x 11
784:2x 2x 2x 2x 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 2x 2x 2x 2x 7x 7 = 3136
Therefore, the value for common factors is 3136.
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 = 308717122560/(1x3136)
LCM = 308717122560/3136
LCM = 98442960
Thus, we can understand that the LCM of 761,840,616,784 is 98442960.
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FAQs on LCM of 761, 840, 616, 784
1. What is the LCM of 761, 840, 616, 784?
Answer: LCM of 761, 840, 616, 784 is 98442960.
2. How to calculate the LCM of 761, 840, 616, 784?
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 761, 840, 616, 784.
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}.