LCM of 356, 690, 253, 458, 446
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 356, 690, 253, 458, 446 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 356, 690, 253, 458, 446. So, keep reading to learn more.
Given numbers are 356,690,253,458,446
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 356,690,253,458,446 is 68992538340.
Find LCM of 356,690,253,458,446 with Prime Factorization
| 2 | 356, 690, 253, 458, 446 |
| 23 | 178, 345, 253, 229, 223 |
| 178, 15, 11, 229, 223 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 178 x 15 x 11 x 229 x 223 = 68992538340
Therefore, the lowest common multiple of 356,690,253,458,446 is 68992538340.
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.
356 x 690 x 253 x 458 x 446 = 12694627054560
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.
356 : 1, 2, 4, 89, 178, 356
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
253 : 1, 11, 23, 253
458 : 1, 2, 229, 458
446 : 1, 2, 223, 446
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 356,690,253,458,446, is 1.
Now, the common factors can be found like this.
356:2x 2x 89
690:2x 3x 5x 23
253:11x 23
458:2x 229
446:2x 223
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 2x 23 = 184
Therefore, the value for common factors is 184.
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 = 12694627054560/(1x184)
LCM = 12694627054560/184
LCM = 68992538340
Thus, we can understand that the LCM of 356,690,253,458,446 is 68992538340.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 356, 690, 253, 458, 446
1. What is the LCM of 356, 690, 253, 458, 446?
Answer: LCM of 356, 690, 253, 458, 446 is 68992538340.
2. How to calculate the LCM of 356, 690, 253, 458, 446?
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 356, 690, 253, 458, 446.
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}.