LCM of 598, 667, 902, 319, 933
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 667, 902, 319, 933 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 598, 667, 902, 319, 933. So, keep reading to learn more.
Given numbers are 598,667,902,319,933
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,667,902,319,933 is 7297218786.
Find LCM of 598,667,902,319,933 with Prime Factorization
| 2 | 598, 667, 902, 319, 933 |
| 11 | 299, 667, 451, 319, 933 |
| 23 | 299, 667, 41, 29, 933 |
| 29 | 13, 29, 41, 29, 933 |
| 13, 1, 41, 1, 933 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 23 x 29 x 13 x 1 x 41 x 1 x 933 = 7297218786
Therefore, the lowest common multiple of 598,667,902,319,933 is 7297218786.
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.
598 x 667 x 902 x 319 x 933 = 107079388465764
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
667 : 1, 23, 29, 667
902 : 1, 2, 11, 22, 41, 82, 451, 902
319 : 1, 11, 29, 319
933 : 1, 3, 311, 933
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,667,902,319,933, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
667:23x 29
902:2x 11x 41
319:11x 29
933:3x 311
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 23x 29 = 14674
Therefore, the value for common factors is 14674.
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 = 107079388465764/(1x14674)
LCM = 107079388465764/14674
LCM = 7297218786
Thus, we can understand that the LCM of 598,667,902,319,933 is 7297218786.
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FAQs on LCM of 598, 667, 902, 319, 933
1. What is the LCM of 598, 667, 902, 319, 933?
Answer: LCM of 598, 667, 902, 319, 933 is 7297218786.
2. How to calculate the LCM of 598, 667, 902, 319, 933?
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 598, 667, 902, 319, 933.
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}.