LCM of 620, 735, 784, 744
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 620, 735, 784, 744 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 620, 735, 784, 744. So, keep reading to learn more.
Given numbers are 620,735,784,744
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 620,735,784,744 is 364560.
Find LCM of 620,735,784,744 with Prime Factorization
| 2 | 620, 735, 784, 744 |
| 2 | 310, 735, 392, 372 |
| 2 | 155, 735, 196, 186 |
| 3 | 155, 735, 98, 93 |
| 5 | 155, 245, 98, 31 |
| 7 | 31, 49, 98, 31 |
| 7 | 31, 7, 14, 31 |
| 31 | 31, 1, 2, 31 |
| 1, 1, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 7 x 31 x 1 x 1 x 2 x 1 = 364560
Therefore, the lowest common multiple of 620,735,784,744 is 364560.
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.
620 x 735 x 784 x 744 = 265807987200
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.
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 620,735,784,744, is 1.
Now, the common factors can be found like this.
620:2x 2x 5x 31
735:3x 5x 7x 7
784:2x 2x 2x 2x 7x 7
744:2x 2x 2x 3x 31
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 7x 7x 31 = 729120
Therefore, the value for common factors is 729120.
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 = 265807987200/(1x729120)
LCM = 265807987200/729120
LCM = 364560
Thus, we can understand that the LCM of 620,735,784,744 is 364560.
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FAQs on LCM of 620, 735, 784, 744
1. What is the LCM of 620, 735, 784, 744?
Answer: LCM of 620, 735, 784, 744 is 364560.
2. How to calculate the LCM of 620, 735, 784, 744?
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 620, 735, 784, 744.
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}.