LCM of 373, 446, 670, 900, 476
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 373, 446, 670, 900, 476 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 373, 446, 670, 900, 476. So, keep reading to learn more.
Given numbers are 373,446,670,900,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 373,446,670,900,476 is 596867550300.
Find LCM of 373,446,670,900,476 with Prime Factorization
| 2 | 373, 446, 670, 900, 476 |
| 2 | 373, 223, 335, 450, 238 |
| 5 | 373, 223, 335, 225, 119 |
| 373, 223, 67, 45, 119 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 373 x 223 x 67 x 45 x 119 = 596867550300
Therefore, the lowest common multiple of 373,446,670,900,476 is 596867550300.
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.
373 x 446 x 670 x 900 x 476 = 47749404024000
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.
373 : 1, 373
446 : 1, 2, 223, 446
670 : 1, 2, 5, 10, 67, 134, 335, 670
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 373,446,670,900,476, is 1.
Now, the common factors can be found like this.
373:373
446:2x 223
670:2x 5x 67
900:2x 2x 3x 3x 5x 5
476:2x 2x 7x 17
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 5 = 80
Therefore, the value for common factors is 80.
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 = 47749404024000/(1x80)
LCM = 47749404024000/80
LCM = 596867550300
Thus, we can understand that the LCM of 373,446,670,900,476 is 596867550300.
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FAQs on LCM of 373, 446, 670, 900, 476
1. What is the LCM of 373, 446, 670, 900, 476?
Answer: LCM of 373, 446, 670, 900, 476 is 596867550300.
2. How to calculate the LCM of 373, 446, 670, 900, 476?
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 373, 446, 670, 900, 476.
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}.