LCM of 601, 680, 943, 425, 714
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 601, 680, 943, 425, 714 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 601, 680, 943, 425, 714. So, keep reading to learn more.
Given numbers are 601,680,943,425,714
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 601,680,943,425,714 is 40465450200.
Find LCM of 601,680,943,425,714 with Prime Factorization
| 2 | 601, 680, 943, 425, 714 |
| 5 | 601, 340, 943, 425, 357 |
| 17 | 601, 68, 943, 85, 357 |
| 601, 4, 943, 5, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 17 x 601 x 4 x 943 x 5 x 21 = 40465450200
Therefore, the lowest common multiple of 601,680,943,425,714 is 40465450200.
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.
601 x 680 x 943 x 425 x 714 = 116945151078000
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.
601 : 1, 601
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
943 : 1, 23, 41, 943
425 : 1, 5, 17, 25, 85, 425
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 601,680,943,425,714, is 1.
Now, the common factors can be found like this.
601:601
680:2x 2x 2x 5x 17
943:23x 41
425:5x 5x 17
714:2x 3x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 17x 17 = 2890
Therefore, the value for common factors is 2890.
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 = 116945151078000/(1x2890)
LCM = 116945151078000/2890
LCM = 40465450200
Thus, we can understand that the LCM of 601,680,943,425,714 is 40465450200.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 601, 680, 943, 425, 714
1. What is the LCM of 601, 680, 943, 425, 714?
Answer: LCM of 601, 680, 943, 425, 714 is 40465450200.
2. How to calculate the LCM of 601, 680, 943, 425, 714?
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 601, 680, 943, 425, 714.
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}.