LCM of 719, 757, 354, 735, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 719, 757, 354, 735, 210 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, 757, 354, 735, 210. So, keep reading to learn more.
Given numbers are 719,757,354,735,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 719,757,354,735,210 is 47205664590.
Find LCM of 719,757,354,735,210 with Prime Factorization
| 2 | 719, 757, 354, 735, 210 |
| 3 | 719, 757, 177, 735, 105 |
| 5 | 719, 757, 59, 245, 35 |
| 7 | 719, 757, 59, 49, 7 |
| 719, 757, 59, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 719 x 757 x 59 x 1 x 7 = 47205664590
Therefore, the lowest common multiple of 719,757,354,735,210 is 47205664590.
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 757 x 354 x 735 x 210 = 29739568691700
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
757 : 1, 757
354 : 1, 2, 3, 6, 59, 118, 177, 354
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 719,757,354,735,210, is 1.
Now, the common factors can be found like this.
719:719
757:757
354:2x 3x 59
735:3x 5x 7x 7
210:2x 3x 5x 7
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 3x 5x 7 = 630
Therefore, the value for common factors is 630.
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 = 29739568691700/(1x630)
LCM = 29739568691700/630
LCM = 47205664590
Thus, we can understand that the LCM of 719,757,354,735,210 is 47205664590.
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FAQs on LCM of 719, 757, 354, 735, 210
1. What is the LCM of 719, 757, 354, 735, 210?
Answer: LCM of 719, 757, 354, 735, 210 is 47205664590.
2. How to calculate the LCM of 719, 757, 354, 735, 210?
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, 757, 354, 735, 210.
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}.