LCM of 354, 458, 472, 148, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 354, 458, 472, 148, 420 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 354, 458, 472, 148, 420. So, keep reading to learn more.
Given numbers are 354,458,472,148,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 354,458,472,148,420 is 419921880.
Find LCM of 354,458,472,148,420 with Prime Factorization
| 2 | 354, 458, 472, 148, 420 |
| 2 | 177, 229, 236, 74, 210 |
| 3 | 177, 229, 118, 37, 105 |
| 59 | 59, 229, 118, 37, 35 |
| 1, 229, 2, 37, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 59 x 1 x 229 x 2 x 37 x 35 = 419921880
Therefore, the lowest common multiple of 354,458,472,148,420 is 419921880.
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.
354 x 458 x 472 x 148 x 420 = 4756875056640
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.
354 : 1, 2, 3, 6, 59, 118, 177, 354
458 : 1, 2, 229, 458
472 : 1, 2, 4, 8, 59, 118, 236, 472
148 : 1, 2, 4, 37, 74, 148
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,458,472,148,420, is 2.
Now, the common factors can be found like this.
354:2x 3x 59
458:2x 229
472:2x 2x 2x 59
148:2x 2x 37
420:2x 2x 3x 5x 7
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 2x 2x 3x 59 = 5664
Therefore, the value for common factors is 5664.
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 = 4756875056640/(2x5664)
LCM = 4756875056640/11328
LCM = 419921880
Thus, we can understand that the LCM of 354,458,472,148,420 is 419921880.
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FAQs on LCM of 354, 458, 472, 148, 420
1. What is the LCM of 354, 458, 472, 148, 420?
Answer: LCM of 354, 458, 472, 148, 420 is 419921880.
2. How to calculate the LCM of 354, 458, 472, 148, 420?
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 354, 458, 472, 148, 420.
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}.