LCM of 748, 583, 748, 346
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 748, 583, 748, 346 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, 583, 748, 346. So, keep reading to learn more.
Given numbers are 748,583,748,346
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,583,748,346 is 6858412.
Find LCM of 748,583,748,346 with Prime Factorization
| 2 | 748, 583, 748, 346 |
| 2 | 374, 583, 374, 173 |
| 11 | 187, 583, 187, 173 |
| 17 | 17, 53, 17, 173 |
| 1, 53, 1, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 17 x 1 x 53 x 1 x 173 = 6858412
Therefore, the lowest common multiple of 748,583,748,346 is 6858412.
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 583 x 748 x 346 = 112862027872
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
583 : 1, 11, 53, 583
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
346 : 1, 2, 173, 346
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,583,748,346, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
583:11x 53
748:2x 2x 11x 17
346:2x 173
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 17 = 16456
Therefore, the value for common factors is 16456.
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 = 112862027872/(1x16456)
LCM = 112862027872/16456
LCM = 6858412
Thus, we can understand that the LCM of 748,583,748,346 is 6858412.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 748, 583, 748, 346
1. What is the LCM of 748, 583, 748, 346?
Answer: LCM of 748, 583, 748, 346 is 6858412.
2. How to calculate the LCM of 748, 583, 748, 346?
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, 583, 748, 346.
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}.