LCM of 748, 306, 277, 510, 346
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 748, 306, 277, 510, 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, 306, 277, 510, 346. So, keep reading to learn more.
Given numbers are 748,306,277,510,346
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 748,306,277,510,346 is 1613020860.
Find LCM of 748,306,277,510,346 with Prime Factorization
| 2 | 748, 306, 277, 510, 346 |
| 3 | 374, 153, 277, 255, 173 |
| 17 | 374, 51, 277, 85, 173 |
| 22, 3, 277, 5, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 22 x 3 x 277 x 5 x 173 = 1613020860
Therefore, the lowest common multiple of 748,306,277,510,346 is 1613020860.
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 306 x 277 x 510 x 346 = 11187912684960
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
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
277 : 1, 277
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
346 : 1, 2, 173, 346
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 748,306,277,510,346, is 1.
Now, the common factors can be found like this.
748:2x 2x 11x 17
306:2x 3x 3x 17
277:277
510:2x 3x 5x 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 3x 17x 17 = 6936
Therefore, the value for common factors is 6936.
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 = 11187912684960/(1x6936)
LCM = 11187912684960/6936
LCM = 1613020860
Thus, we can understand that the LCM of 748,306,277,510,346 is 1613020860.
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FAQs on LCM of 748, 306, 277, 510, 346
1. What is the LCM of 748, 306, 277, 510, 346?
Answer: LCM of 748, 306, 277, 510, 346 is 1613020860.
2. How to calculate the LCM of 748, 306, 277, 510, 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, 306, 277, 510, 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}.