LCM of 676, 650, 840, 216, 707
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 676, 650, 840, 216, 707 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 676, 650, 840, 216, 707. So, keep reading to learn more.
Given numbers are 676,650,840,216,707
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 676,650,840,216,707 is 645208200.
Find LCM of 676,650,840,216,707 with Prime Factorization
| 2 | 676, 650, 840, 216, 707 |
| 2 | 338, 325, 420, 108, 707 |
| 2 | 169, 325, 210, 54, 707 |
| 3 | 169, 325, 105, 27, 707 |
| 5 | 169, 325, 35, 9, 707 |
| 7 | 169, 65, 7, 9, 707 |
| 13 | 169, 65, 1, 9, 101 |
| 13, 5, 1, 9, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 13 x 13 x 5 x 1 x 9 x 101 = 645208200
Therefore, the lowest common multiple of 676,650,840,216,707 is 645208200.
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.
676 x 650 x 840 x 216 x 707 = 56365388352000
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.
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
707 : 1, 7, 101, 707
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,650,840,216,707, is 1.
Now, the common factors can be found like this.
676:2x 2x 13x 13
650:2x 5x 5x 13
840:2x 2x 2x 3x 5x 7
216:2x 2x 2x 3x 3x 3
707:7x 101
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 2x 2x 3x 5x 7x 13 = 87360
Therefore, the value for common factors is 87360.
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 = 56365388352000/(1x87360)
LCM = 56365388352000/87360
LCM = 645208200
Thus, we can understand that the LCM of 676,650,840,216,707 is 645208200.
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FAQs on LCM of 676, 650, 840, 216, 707
1. What is the LCM of 676, 650, 840, 216, 707?
Answer: LCM of 676, 650, 840, 216, 707 is 645208200.
2. How to calculate the LCM of 676, 650, 840, 216, 707?
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 676, 650, 840, 216, 707.
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}.