LCM of 437, 519, 759, 346
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 519, 759, 346 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, 519, 759, 346. So, keep reading to learn more.
Given numbers are 437,519,759,346
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,519,759,346 is 4989666.
Find LCM of 437,519,759,346 with Prime Factorization
| 3 | 437, 519, 759, 346 |
| 23 | 437, 173, 253, 346 |
| 173 | 19, 173, 11, 346 |
| 19, 1, 11, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 23 x 173 x 19 x 1 x 11 x 2 = 4989666
Therefore, the lowest common multiple of 437,519,759,346 is 4989666.
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 519 x 759 x 346 = 59561643042
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
519 : 1, 3, 173, 519
759 : 1, 3, 11, 23, 33, 69, 253, 759
346 : 1, 2, 173, 346
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,519,759,346, is 1.
Now, the common factors can be found like this.
437:19x 23
519:3x 173
759:3x 11x 23
346:2x 173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 23x 173 = 11937
Therefore, the value for common factors is 11937.
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 = 59561643042/(1x11937)
LCM = 59561643042/11937
LCM = 4989666
Thus, we can understand that the LCM of 437,519,759,346 is 4989666.
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FAQs on LCM of 437, 519, 759, 346
1. What is the LCM of 437, 519, 759, 346?
Answer: LCM of 437, 519, 759, 346 is 4989666.
2. How to calculate the LCM of 437, 519, 759, 346?
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, 519, 759, 346.
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}.