LCM of 650, 742, 988, 847, 780
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 650, 742, 988, 847, 780 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 650, 742, 988, 847, 780. So, keep reading to learn more.
Given numbers are 650,742,988,847,780
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 650,742,988,847,780 is 3326423100.
Find LCM of 650,742,988,847,780 with Prime Factorization
| 2 | 650, 742, 988, 847, 780 |
| 2 | 325, 371, 494, 847, 390 |
| 5 | 325, 371, 247, 847, 195 |
| 7 | 65, 371, 247, 847, 39 |
| 13 | 65, 53, 247, 121, 39 |
| 5, 53, 19, 121, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 13 x 5 x 53 x 19 x 121 x 3 = 3326423100
Therefore, the lowest common multiple of 650,742,988,847,780 is 3326423100.
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.
650 x 742 x 988 x 847 x 780 = 314812682184000
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.
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
742 : 1, 2, 7, 14, 53, 106, 371, 742
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
847 : 1, 7, 11, 77, 121, 847
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 650,742,988,847,780, is 1.
Now, the common factors can be found like this.
650:2x 5x 5x 13
742:2x 7x 53
988:2x 2x 13x 19
847:7x 11x 11
780:2x 2x 3x 5x 13
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 5x 7x 13x 13 = 94640
Therefore, the value for common factors is 94640.
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 = 314812682184000/(1x94640)
LCM = 314812682184000/94640
LCM = 3326423100
Thus, we can understand that the LCM of 650,742,988,847,780 is 3326423100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 650, 742, 988, 847, 780
1. What is the LCM of 650, 742, 988, 847, 780?
Answer: LCM of 650, 742, 988, 847, 780 is 3326423100.
2. How to calculate the LCM of 650, 742, 988, 847, 780?
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 650, 742, 988, 847, 780.
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}.