LCM of 655, 650, 583, 371, 785
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 655, 650, 583, 371, 785 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 655, 650, 583, 371, 785. So, keep reading to learn more.
Given numbers are 655,650,583,371,785
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 655,650,583,371,785 is 54557052550.
Find LCM of 655,650,583,371,785 with Prime Factorization
| 5 | 655, 650, 583, 371, 785 |
| 53 | 131, 130, 583, 371, 157 |
| 131, 130, 11, 7, 157 |
Multiply the prime numbers at the bottom and the left side.
5 x 53 x 131 x 130 x 11 x 7 x 157 = 54557052550
Therefore, the lowest common multiple of 655,650,583,371,785 is 54557052550.
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.
655 x 650 x 583 x 371 x 785 = 72288094628750
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.
655 : 1, 5, 131, 655
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
583 : 1, 11, 53, 583
371 : 1, 7, 53, 371
785 : 1, 5, 157, 785
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 655,650,583,371,785, is 1.
Now, the common factors can be found like this.
655:5x 131
650:2x 5x 5x 13
583:11x 53
371:7x 53
785:5x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 53 = 1325
Therefore, the value for common factors is 1325.
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 = 72288094628750/(1x1325)
LCM = 72288094628750/1325
LCM = 54557052550
Thus, we can understand that the LCM of 655,650,583,371,785 is 54557052550.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 655, 650, 583, 371, 785
1. What is the LCM of 655, 650, 583, 371, 785?
Answer: LCM of 655, 650, 583, 371, 785 is 54557052550.
2. How to calculate the LCM of 655, 650, 583, 371, 785?
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 655, 650, 583, 371, 785.
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}.