LCM of 950, 744, 651, 543, 163
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 950, 744, 651, 543, 163 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 950, 744, 651, 543, 163. So, keep reading to learn more.
Given numbers are 950,744,651,543,163
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 950,744,651,543,163 is 72984521400.
Find LCM of 950,744,651,543,163 with Prime Factorization
| 2 | 950, 744, 651, 543, 163 |
| 3 | 475, 372, 651, 543, 163 |
| 31 | 475, 124, 217, 181, 163 |
| 475, 4, 7, 181, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 475 x 4 x 7 x 181 x 163 = 72984521400
Therefore, the lowest common multiple of 950,744,651,543,163 is 72984521400.
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.
950 x 744 x 651 x 543 x 163 = 40725362941200
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.
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
651 : 1, 3, 7, 21, 31, 93, 217, 651
543 : 1, 3, 181, 543
163 : 1, 163
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 950,744,651,543,163, is 1.
Now, the common factors can be found like this.
950:2x 5x 5x 19
744:2x 2x 2x 3x 31
651:3x 7x 31
543:3x 181
163:163
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 31 = 558
Therefore, the value for common factors is 558.
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 = 40725362941200/(1x558)
LCM = 40725362941200/558
LCM = 72984521400
Thus, we can understand that the LCM of 950,744,651,543,163 is 72984521400.
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FAQs on LCM of 950, 744, 651, 543, 163
1. What is the LCM of 950, 744, 651, 543, 163?
Answer: LCM of 950, 744, 651, 543, 163 is 72984521400.
2. How to calculate the LCM of 950, 744, 651, 543, 163?
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 950, 744, 651, 543, 163.
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}.