LCM of 453, 346, 504, 619, 120
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 453, 346, 504, 619, 120 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 453, 346, 504, 619, 120. So, keep reading to learn more.
Given numbers are 453,346,504,619,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 453,346,504,619,120 is 40748745240.
Find LCM of 453,346,504,619,120 with Prime Factorization
| 2 | 453, 346, 504, 619, 120 |
| 2 | 453, 173, 252, 619, 60 |
| 2 | 453, 173, 126, 619, 30 |
| 3 | 453, 173, 63, 619, 15 |
| 151, 173, 21, 619, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 151 x 173 x 21 x 619 x 5 = 40748745240
Therefore, the lowest common multiple of 453,346,504,619,120 is 40748745240.
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.
453 x 346 x 504 x 619 x 120 = 5867819314560
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.
453 : 1, 3, 151, 453
346 : 1, 2, 173, 346
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
619 : 1, 619
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 453,346,504,619,120, is 1.
Now, the common factors can be found like this.
453:3x 151
346:2x 173
504:2x 2x 2x 3x 3x 7
619:619
120:2x 2x 2x 3x 5
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 5867819314560/(1x144)
LCM = 5867819314560/144
LCM = 40748745240
Thus, we can understand that the LCM of 453,346,504,619,120 is 40748745240.
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FAQs on LCM of 453, 346, 504, 619, 120
1. What is the LCM of 453, 346, 504, 619, 120?
Answer: LCM of 453, 346, 504, 619, 120 is 40748745240.
2. How to calculate the LCM of 453, 346, 504, 619, 120?
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 453, 346, 504, 619, 120.
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}.