LCM of 437, 150, 690, 356, 113
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 150, 690, 356, 113 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 437, 150, 690, 356, 113. So, keep reading to learn more.
Given numbers are 437,150,690,356,113
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,150,690,356,113 is 1318472700.
Find LCM of 437,150,690,356,113 with Prime Factorization
| 2 | 437, 150, 690, 356, 113 |
| 3 | 437, 75, 345, 178, 113 |
| 5 | 437, 25, 115, 178, 113 |
| 23 | 437, 5, 23, 178, 113 |
| 19, 5, 1, 178, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 19 x 5 x 1 x 178 x 113 = 1318472700
Therefore, the lowest common multiple of 437,150,690,356,113 is 1318472700.
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.
437 x 150 x 690 x 356 x 113 = 1819492326000
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.
437 : 1, 19, 23, 437
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
356 : 1, 2, 4, 89, 178, 356
113 : 1, 113
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,150,690,356,113, is 1.
Now, the common factors can be found like this.
437:19x 23
150:2x 3x 5x 5
690:2x 3x 5x 23
356:2x 2x 89
113:113
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 5x 23 = 1380
Therefore, the value for common factors is 1380.
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 = 1819492326000/(1x1380)
LCM = 1819492326000/1380
LCM = 1318472700
Thus, we can understand that the LCM of 437,150,690,356,113 is 1318472700.
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FAQs on LCM of 437, 150, 690, 356, 113
1. What is the LCM of 437, 150, 690, 356, 113?
Answer: LCM of 437, 150, 690, 356, 113 is 1318472700.
2. How to calculate the LCM of 437, 150, 690, 356, 113?
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 437, 150, 690, 356, 113.
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}.