LCM of 650, 627, 928, 865, 702
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 650, 627, 928, 865, 702 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, 627, 928, 865, 702. So, keep reading to learn more.
Given numbers are 650,627,928,865,702
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 650,627,928,865,702 is 294433682400.
Find LCM of 650,627,928,865,702 with Prime Factorization
| 2 | 650, 627, 928, 865, 702 |
| 3 | 325, 627, 464, 865, 351 |
| 5 | 325, 209, 464, 865, 117 |
| 13 | 65, 209, 464, 173, 117 |
| 5, 209, 464, 173, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 5 x 209 x 464 x 173 x 9 = 294433682400
Therefore, the lowest common multiple of 650,627,928,865,702 is 294433682400.
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 627 x 928 x 865 x 702 = 229658272272000
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
627 : 1, 3, 11, 19, 33, 57, 209, 627
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
865 : 1, 5, 173, 865
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 650,627,928,865,702, is 1.
Now, the common factors can be found like this.
650:2x 5x 5x 13
627:3x 11x 19
928:2x 2x 2x 2x 2x 29
865:5x 173
702:2x 3x 3x 3x 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 3x 5x 13 = 780
Therefore, the value for common factors is 780.
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 = 229658272272000/(1x780)
LCM = 229658272272000/780
LCM = 294433682400
Thus, we can understand that the LCM of 650,627,928,865,702 is 294433682400.
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FAQs on LCM of 650, 627, 928, 865, 702
1. What is the LCM of 650, 627, 928, 865, 702?
Answer: LCM of 650, 627, 928, 865, 702 is 294433682400.
2. How to calculate the LCM of 650, 627, 928, 865, 702?
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, 627, 928, 865, 702.
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}.