LCM of 748, 763, 748, 598, 143
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 748, 763, 748, 598, 143 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 748, 763, 748, 598, 143. So, keep reading to learn more.
Given numbers are 748,763,748,598,143
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,763,748,598,143 is 170646476.
Find LCM of 748,763,748,598,143 with Prime Factorization
| 2 | 748, 763, 748, 598, 143 |
| 2 | 374, 763, 374, 299, 143 |
| 11 | 187, 763, 187, 299, 143 |
| 13 | 17, 763, 17, 299, 13 |
| 17 | 17, 763, 17, 23, 1 |
| 1, 763, 1, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 13 x 17 x 1 x 763 x 1 x 23 x 1 = 170646476
Therefore, the lowest common multiple of 748,763,748,598,143 is 170646476.
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.
748 x 763 x 748 x 598 x 143 = 36506059317728
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.
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
763 : 1, 7, 109, 763
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
598 : 1, 2, 13, 23, 26, 46, 299, 598
143 : 1, 11, 13, 143
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,763,748,598,143, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
763:7x 109
748:2x 2x 11x 17
598:2x 13x 23
143:11x 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 11x 11x 13x 17 = 213928
Therefore, the value for common factors is 213928.
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 = 36506059317728/(1x213928)
LCM = 36506059317728/213928
LCM = 170646476
Thus, we can understand that the LCM of 748,763,748,598,143 is 170646476.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 748, 763, 748, 598, 143
1. What is the LCM of 748, 763, 748, 598, 143?
Answer: LCM of 748, 763, 748, 598, 143 is 170646476.
2. How to calculate the LCM of 748, 763, 748, 598, 143?
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 748, 763, 748, 598, 143.
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}.