LCM of 719, 210, 528, 975, 410
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 719, 210, 528, 975, 410 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 719, 210, 528, 975, 410. So, keep reading to learn more.
Given numbers are 719,210,528,975,410
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 719,210,528,975,410 is 35410174800.
Find LCM of 719,210,528,975,410 with Prime Factorization
| 2 | 719, 210, 528, 975, 410 |
| 3 | 719, 105, 264, 975, 205 |
| 5 | 719, 35, 88, 325, 205 |
| 719, 7, 88, 65, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 719 x 7 x 88 x 65 x 41 = 35410174800
Therefore, the lowest common multiple of 719,210,528,975,410 is 35410174800.
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.
719 x 210 x 528 x 975 x 410 = 31869157320000
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.
719 : 1, 719
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
410 : 1, 2, 5, 10, 41, 82, 205, 410
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,210,528,975,410, is 1.
Now, the common factors can be found like this.
719:719
210:2x 3x 5x 7
528:2x 2x 2x 2x 3x 11
975:3x 5x 5x 13
410:2x 5x 41
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 3x 3x 5x 5 = 900
Therefore, the value for common factors is 900.
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 = 31869157320000/(1x900)
LCM = 31869157320000/900
LCM = 35410174800
Thus, we can understand that the LCM of 719,210,528,975,410 is 35410174800.
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FAQs on LCM of 719, 210, 528, 975, 410
1. What is the LCM of 719, 210, 528, 975, 410?
Answer: LCM of 719, 210, 528, 975, 410 is 35410174800.
2. How to calculate the LCM of 719, 210, 528, 975, 410?
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 719, 210, 528, 975, 410.
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}.