LCM of 662, 145, 635, 319
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 662, 145, 635, 319 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 662, 145, 635, 319. So, keep reading to learn more.
Given numbers are 662,145,635,319
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 662,145,635,319 is 134098030.
Find LCM of 662,145,635,319 with Prime Factorization
| 5 | 662, 145, 635, 319 |
| 29 | 662, 29, 127, 319 |
| 662, 1, 127, 11 |
Multiply the prime numbers at the bottom and the left side.
5 x 29 x 662 x 1 x 127 x 11 = 134098030
Therefore, the lowest common multiple of 662,145,635,319 is 134098030.
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.
662 x 145 x 635 x 319 = 19444214350
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.
662 : 1, 2, 331, 662
145 : 1, 5, 29, 145
635 : 1, 5, 127, 635
319 : 1, 11, 29, 319
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 662,145,635,319, is 1.
Now, the common factors can be found like this.
662:2x 331
145:5x 29
635:5x 127
319:11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 29 = 145
Therefore, the value for common factors is 145.
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 = 19444214350/(1x145)
LCM = 19444214350/145
LCM = 134098030
Thus, we can understand that the LCM of 662,145,635,319 is 134098030.
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FAQs on LCM of 662, 145, 635, 319
1. What is the LCM of 662, 145, 635, 319?
Answer: LCM of 662, 145, 635, 319 is 134098030.
2. How to calculate the LCM of 662, 145, 635, 319?
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 662, 145, 635, 319.
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}.