LCM of 377, 456, 905, 429, 195
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 377, 456, 905, 429, 195 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 377, 456, 905, 429, 195. So, keep reading to learn more.
Given numbers are 377,456,905,429,195
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,456,905,429,195 is 1711383960.
Find LCM of 377,456,905,429,195 with Prime Factorization
| 3 | 377, 456, 905, 429, 195 |
| 5 | 377, 152, 905, 143, 65 |
| 13 | 377, 152, 181, 143, 13 |
| 29, 152, 181, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 29 x 152 x 181 x 11 x 1 = 1711383960
Therefore, the lowest common multiple of 377,456,905,429,195 is 1711383960.
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.
377 x 456 x 905 x 429 x 195 = 13015075015800
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.
377 : 1, 13, 29, 377
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
905 : 1, 5, 181, 905
429 : 1, 3, 11, 13, 33, 39, 143, 429
195 : 1, 3, 5, 13, 15, 39, 65, 195
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,456,905,429,195, is 1.
Now, the common factors can be found like this.
377:13x 29
456:2x 2x 2x 3x 19
905:5x 181
429:3x 11x 13
195:3x 5x 13
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 5x 13x 13 = 7605
Therefore, the value for common factors is 7605.
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 = 13015075015800/(1x7605)
LCM = 13015075015800/7605
LCM = 1711383960
Thus, we can understand that the LCM of 377,456,905,429,195 is 1711383960.
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FAQs on LCM of 377, 456, 905, 429, 195
1. What is the LCM of 377, 456, 905, 429, 195?
Answer: LCM of 377, 456, 905, 429, 195 is 1711383960.
2. How to calculate the LCM of 377, 456, 905, 429, 195?
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 377, 456, 905, 429, 195.
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}.