LCM of 357, 279, 598, 341, 363
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 279, 598, 341, 363 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 357, 279, 598, 341, 363. So, keep reading to learn more.
Given numbers are 357,279,598,341,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,279,598,341,363 is 2402357958.
Find LCM of 357,279,598,341,363 with Prime Factorization
| 3 | 357, 279, 598, 341, 363 |
| 11 | 119, 93, 598, 341, 121 |
| 31 | 119, 93, 598, 31, 11 |
| 119, 3, 598, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 31 x 119 x 3 x 598 x 1 x 11 = 2402357958
Therefore, the lowest common multiple of 357,279,598,341,363 is 2402357958.
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.
357 x 279 x 598 x 341 x 363 = 7372836573102
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
279 : 1, 3, 9, 31, 93, 279
598 : 1, 2, 13, 23, 26, 46, 299, 598
341 : 1, 11, 31, 341
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,279,598,341,363, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
279:3x 3x 31
598:2x 13x 23
341:11x 31
363:3x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 11x 31 = 3069
Therefore, the value for common factors is 3069.
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 = 7372836573102/(1x3069)
LCM = 7372836573102/3069
LCM = 2402357958
Thus, we can understand that the LCM of 357,279,598,341,363 is 2402357958.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 357, 279, 598, 341, 363
1. What is the LCM of 357, 279, 598, 341, 363?
Answer: LCM of 357, 279, 598, 341, 363 is 2402357958.
2. How to calculate the LCM of 357, 279, 598, 341, 363?
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 357, 279, 598, 341, 363.
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}.