LCM of 358, 357, 770, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 358, 357, 770, 902 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 358, 357, 770, 902. So, keep reading to learn more.
Given numbers are 358,357,770,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 358,357,770,902 is 288202530.
Find LCM of 358,357,770,902 with Prime Factorization
| 2 | 358, 357, 770, 902 |
| 7 | 179, 357, 385, 451 |
| 11 | 179, 51, 55, 451 |
| 179, 51, 5, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 179 x 51 x 5 x 41 = 288202530
Therefore, the lowest common multiple of 358,357,770,902 is 288202530.
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.
358 x 357 x 770 x 902 = 88766379240
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.
358 : 1, 2, 179, 358
357 : 1, 3, 7, 17, 21, 51, 119, 357
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,357,770,902, is 1.
Now, the common factors can be found like this.
358:2x 179
357:3x 7x 17
770:2x 5x 7x 11
902:2x 11x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 7x 11 = 308
Therefore, the value for common factors is 308.
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 = 88766379240/(1x308)
LCM = 88766379240/308
LCM = 288202530
Thus, we can understand that the LCM of 358,357,770,902 is 288202530.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 358, 357, 770, 902
1. What is the LCM of 358, 357, 770, 902?
Answer: LCM of 358, 357, 770, 902 is 288202530.
2. How to calculate the LCM of 358, 357, 770, 902?
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 358, 357, 770, 902.
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}.