LCM of 484, 468, 598, 145, 746
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 484, 468, 598, 145, 746 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 484, 468, 598, 145, 746. So, keep reading to learn more.
Given numbers are 484,468,598,145,746
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 484,468,598,145,746 is 70442683740.
Find LCM of 484,468,598,145,746 with Prime Factorization
| 2 | 484, 468, 598, 145, 746 |
| 2 | 242, 234, 299, 145, 373 |
| 13 | 121, 117, 299, 145, 373 |
| 121, 9, 23, 145, 373 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 121 x 9 x 23 x 145 x 373 = 70442683740
Therefore, the lowest common multiple of 484,468,598,145,746 is 70442683740.
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.
484 x 468 x 598 x 145 x 746 = 14652078217920
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.
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
598 : 1, 2, 13, 23, 26, 46, 299, 598
145 : 1, 5, 29, 145
746 : 1, 2, 373, 746
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,468,598,145,746, is 1.
Now, the common factors can be found like this.
484:2x 2x 11x 11
468:2x 2x 3x 3x 13
598:2x 13x 23
145:5x 29
746:2x 373
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 13 = 208
Therefore, the value for common factors is 208.
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 = 14652078217920/(1x208)
LCM = 14652078217920/208
LCM = 70442683740
Thus, we can understand that the LCM of 484,468,598,145,746 is 70442683740.
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FAQs on LCM of 484, 468, 598, 145, 746
1. What is the LCM of 484, 468, 598, 145, 746?
Answer: LCM of 484, 468, 598, 145, 746 is 70442683740.
2. How to calculate the LCM of 484, 468, 598, 145, 746?
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 484, 468, 598, 145, 746.
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}.