LCM of 937, 901, 474, 744, 901
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 937, 901, 474, 744, 901 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, 901, 474, 744, 901. So, keep reading to learn more.
Given numbers are 937,901,474,744,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 937,901,474,744,901 is 49620873912.
Find LCM of 937,901,474,744,901 with Prime Factorization
| 2 | 937, 901, 474, 744, 901 |
| 3 | 937, 901, 237, 372, 901 |
| 17 | 937, 901, 79, 124, 901 |
| 53 | 937, 53, 79, 124, 53 |
| 937, 1, 79, 124, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 53 x 937 x 1 x 79 x 124 x 1 = 49620873912
Therefore, the lowest common multiple of 937,901,474,744,901 is 49620873912.
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 901 x 474 x 744 x 901 = 268250444368272
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
901 : 1, 17, 53, 901
474 : 1, 2, 3, 6, 79, 158, 237, 474
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 937,901,474,744,901, is 1.
Now, the common factors can be found like this.
937:937
901:17x 53
474:2x 3x 79
744:2x 2x 2x 3x 31
901:17x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17x 53 = 5406
Therefore, the value for common factors is 5406.
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 = 268250444368272/(1x5406)
LCM = 268250444368272/5406
LCM = 49620873912
Thus, we can understand that the LCM of 937,901,474,744,901 is 49620873912.
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FAQs on LCM of 937, 901, 474, 744, 901
1. What is the LCM of 937, 901, 474, 744, 901?
Answer: LCM of 937, 901, 474, 744, 901 is 49620873912.
2. How to calculate the LCM of 937, 901, 474, 744, 901?
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, 901, 474, 744, 901.
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}.