LCM of 937, 346, 434, 901, 146
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 937, 346, 434, 901, 146 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 937, 346, 434, 901, 146. So, keep reading to learn more.
Given numbers are 937,346,434,901,146
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 937,346,434,901,146 is 4627251177682.
Find LCM of 937,346,434,901,146 with Prime Factorization
| 2 | 937, 346, 434, 901, 146 |
| 937, 173, 217, 901, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 937 x 173 x 217 x 901 x 73 = 4627251177682
Therefore, the lowest common multiple of 937,346,434,901,146 is 4627251177682.
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.
937 x 346 x 434 x 901 x 146 = 18509004710728
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.
937 : 1, 937
346 : 1, 2, 173, 346
434 : 1, 2, 7, 14, 31, 62, 217, 434
901 : 1, 17, 53, 901
146 : 1, 2, 73, 146
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 937,346,434,901,146, is 1.
Now, the common factors can be found like this.
937:937
346:2x 173
434:2x 7x 31
901:17x 53
146:2x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 18509004710728/(1x4)
LCM = 18509004710728/4
LCM = 4627251177682
Thus, we can understand that the LCM of 937,346,434,901,146 is 4627251177682.
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FAQs on LCM of 937, 346, 434, 901, 146
1. What is the LCM of 937, 346, 434, 901, 146?
Answer: LCM of 937, 346, 434, 901, 146 is 4627251177682.
2. How to calculate the LCM of 937, 346, 434, 901, 146?
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 937, 346, 434, 901, 146.
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}.