LCM of 105, 710, 429, 496
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 105, 710, 429, 496 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 105, 710, 429, 496. So, keep reading to learn more.
Given numbers are 105,710,429,496
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 105,710,429,496 is 528768240.
Find LCM of 105,710,429,496 with Prime Factorization
| 2 | 105, 710, 429, 496 |
| 3 | 105, 355, 429, 248 |
| 5 | 35, 355, 143, 248 |
| 7, 71, 143, 248 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 71 x 143 x 248 = 528768240
Therefore, the lowest common multiple of 105,710,429,496 is 528768240.
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.
105 x 710 x 429 x 496 = 15863047200
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.
105 : 1, 3, 5, 7, 15, 21, 35, 105
710 : 1, 2, 5, 10, 71, 142, 355, 710
429 : 1, 3, 11, 13, 33, 39, 143, 429
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 105,710,429,496, is 1.
Now, the common factors can be found like this.
105:3x 5x 7
710:2x 5x 71
429:3x 11x 13
496:2x 2x 2x 2x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 15863047200/(1x30)
LCM = 15863047200/30
LCM = 528768240
Thus, we can understand that the LCM of 105,710,429,496 is 528768240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 105, 710, 429, 496
1. What is the LCM of 105, 710, 429, 496?
Answer: LCM of 105, 710, 429, 496 is 528768240.
2. How to calculate the LCM of 105, 710, 429, 496?
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 105, 710, 429, 496.
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}.