LCM of 741, 426, 312, 208, 153
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 741, 426, 312, 208, 153 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 741, 426, 312, 208, 153. So, keep reading to learn more.
Given numbers are 741,426,312,208,153
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,426,312,208,153 is 42930576.
Find LCM of 741,426,312,208,153 with Prime Factorization
| 2 | 741, 426, 312, 208, 153 |
| 2 | 741, 213, 156, 104, 153 |
| 2 | 741, 213, 78, 52, 153 |
| 3 | 741, 213, 39, 26, 153 |
| 13 | 247, 71, 13, 26, 51 |
| 19, 71, 1, 2, 51 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 19 x 71 x 1 x 2 x 51 = 42930576
Therefore, the lowest common multiple of 741,426,312,208,153 is 42930576.
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.
741 x 426 x 312 x 208 x 153 = 3134275492608
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
426 : 1, 2, 3, 6, 71, 142, 213, 426
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
153 : 1, 3, 9, 17, 51, 153
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,426,312,208,153, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
426:2x 3x 71
312:2x 2x 2x 3x 13
208:2x 2x 2x 2x 13
153:3x 3x 17
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 2x 3x 3x 3x 13x 13 = 73008
Therefore, the value for common factors is 73008.
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 = 3134275492608/(1x73008)
LCM = 3134275492608/73008
LCM = 42930576
Thus, we can understand that the LCM of 741,426,312,208,153 is 42930576.
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FAQs on LCM of 741, 426, 312, 208, 153
1. What is the LCM of 741, 426, 312, 208, 153?
Answer: LCM of 741, 426, 312, 208, 153 is 42930576.
2. How to calculate the LCM of 741, 426, 312, 208, 153?
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 741, 426, 312, 208, 153.
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}.