LCM of 305, 984, 572, 314, 640
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 984, 572, 314, 640 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 305, 984, 572, 314, 640. So, keep reading to learn more.
Given numbers are 305,984,572,314,640
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,984,572,314,640 is 107807905920.
Find LCM of 305,984,572,314,640 with Prime Factorization
| 2 | 305, 984, 572, 314, 640 |
| 2 | 305, 492, 286, 157, 320 |
| 2 | 305, 246, 143, 157, 160 |
| 5 | 305, 123, 143, 157, 80 |
| 61, 123, 143, 157, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 61 x 123 x 143 x 157 x 16 = 107807905920
Therefore, the lowest common multiple of 305,984,572,314,640 is 107807905920.
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.
305 x 984 x 572 x 314 x 640 = 34498529894400
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.
305 : 1, 5, 61, 305
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
314 : 1, 2, 157, 314
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,984,572,314,640, is 1.
Now, the common factors can be found like this.
305:5x 61
984:2x 2x 2x 3x 41
572:2x 2x 11x 13
314:2x 157
640:2x 2x 2x 2x 2x 2x 2x 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 2x 5 = 320
Therefore, the value for common factors is 320.
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 = 34498529894400/(1x320)
LCM = 34498529894400/320
LCM = 107807905920
Thus, we can understand that the LCM of 305,984,572,314,640 is 107807905920.
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FAQs on LCM of 305, 984, 572, 314, 640
1. What is the LCM of 305, 984, 572, 314, 640?
Answer: LCM of 305, 984, 572, 314, 640 is 107807905920.
2. How to calculate the LCM of 305, 984, 572, 314, 640?
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 305, 984, 572, 314, 640.
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}.