LCM of 639, 748, 912, 741, 437
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 639, 748, 912, 741, 437 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 639, 748, 912, 741, 437. So, keep reading to learn more.
Given numbers are 639,748,912,741,437
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 639,748,912,741,437 is 10861435728.
Find LCM of 639,748,912,741,437 with Prime Factorization
| 2 | 639, 748, 912, 741, 437 |
| 2 | 639, 374, 456, 741, 437 |
| 3 | 639, 187, 228, 741, 437 |
| 19 | 213, 187, 76, 247, 437 |
| 213, 187, 4, 13, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 213 x 187 x 4 x 13 x 23 = 10861435728
Therefore, the lowest common multiple of 639,748,912,741,437 is 10861435728.
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.
639 x 748 x 912 x 741 x 437 = 141155218721088
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.
639 : 1, 3, 9, 71, 213, 639
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
741 : 1, 3, 13, 19, 39, 57, 247, 741
437 : 1, 19, 23, 437
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 639,748,912,741,437, is 1.
Now, the common factors can be found like this.
639:3x 3x 71
748:2x 2x 11x 17
912:2x 2x 2x 2x 3x 19
741:3x 13x 19
437:19x 23
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 3x 3x 19x 19 = 12996
Therefore, the value for common factors is 12996.
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 = 141155218721088/(1x12996)
LCM = 141155218721088/12996
LCM = 10861435728
Thus, we can understand that the LCM of 639,748,912,741,437 is 10861435728.
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FAQs on LCM of 639, 748, 912, 741, 437
1. What is the LCM of 639, 748, 912, 741, 437?
Answer: LCM of 639, 748, 912, 741, 437 is 10861435728.
2. How to calculate the LCM of 639, 748, 912, 741, 437?
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 639, 748, 912, 741, 437.
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}.