LCM of 437, 299, 663, 970
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 299, 663, 970 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, 299, 663, 970. So, keep reading to learn more.
Given numbers are 437,299,663,970
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,299,663,970 is 281039070.
Find LCM of 437,299,663,970 with Prime Factorization
| 13 | 437, 299, 663, 970 |
| 23 | 437, 23, 51, 970 |
| 19, 1, 51, 970 |
Multiply the prime numbers at the bottom and the left side.
13 x 23 x 19 x 1 x 51 x 970 = 281039070
Therefore, the lowest common multiple of 437,299,663,970 is 281039070.
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 299 x 663 x 970 = 84030681930
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
299 : 1, 13, 23, 299
663 : 1, 3, 13, 17, 39, 51, 221, 663
970 : 1, 2, 5, 10, 97, 194, 485, 970
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,299,663,970, is 1.
Now, the common factors can be found like this.
437:19x 23
299:13x 23
663:3x 13x 17
970:2x 5x 97
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 23 = 299
Therefore, the value for common factors is 299.
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 = 84030681930/(1x299)
LCM = 84030681930/299
LCM = 281039070
Thus, we can understand that the LCM of 437,299,663,970 is 281039070.
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FAQs on LCM of 437, 299, 663, 970
1. What is the LCM of 437, 299, 663, 970?
Answer: LCM of 437, 299, 663, 970 is 281039070.
2. How to calculate the LCM of 437, 299, 663, 970?
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, 299, 663, 970.
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}.