LCM of 649, 355, 710, 306, 420
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 355, 710, 306, 420 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 649, 355, 710, 306, 420. So, keep reading to learn more.
Given numbers are 649,355,710,306,420
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,355,710,306,420 is 987012180.
Find LCM of 649,355,710,306,420 with Prime Factorization
| 2 | 649, 355, 710, 306, 420 |
| 3 | 649, 355, 355, 153, 210 |
| 5 | 649, 355, 355, 51, 70 |
| 71 | 649, 71, 71, 51, 14 |
| 649, 1, 1, 51, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 71 x 649 x 1 x 1 x 51 x 14 = 987012180
Therefore, the lowest common multiple of 649,355,710,306,420 is 987012180.
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.
649 x 355 x 710 x 306 x 420 = 21023359434000
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.
649 : 1, 11, 59, 649
355 : 1, 5, 71, 355
710 : 1, 2, 5, 10, 71, 142, 355, 710
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,355,710,306,420, is 1.
Now, the common factors can be found like this.
649:11x 59
355:5x 71
710:2x 5x 71
306:2x 3x 3x 17
420:2x 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 2x 3x 5x 5x 71 = 21300
Therefore, the value for common factors is 21300.
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 = 21023359434000/(1x21300)
LCM = 21023359434000/21300
LCM = 987012180
Thus, we can understand that the LCM of 649,355,710,306,420 is 987012180.
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FAQs on LCM of 649, 355, 710, 306, 420
1. What is the LCM of 649, 355, 710, 306, 420?
Answer: LCM of 649, 355, 710, 306, 420 is 987012180.
2. How to calculate the LCM of 649, 355, 710, 306, 420?
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 649, 355, 710, 306, 420.
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}.