LCM of 378, 605, 363, 506, 710
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 378, 605, 363, 506, 710 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 378, 605, 363, 506, 710. So, keep reading to learn more.
Given numbers are 378,605,363,506,710
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 378,605,363,506,710 is 373450770.
Find LCM of 378,605,363,506,710 with Prime Factorization
| 2 | 378, 605, 363, 506, 710 |
| 3 | 189, 605, 363, 253, 355 |
| 5 | 63, 605, 121, 253, 355 |
| 11 | 63, 121, 121, 253, 71 |
| 11 | 63, 11, 11, 23, 71 |
| 63, 1, 1, 23, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 11 x 63 x 1 x 1 x 23 x 71 = 373450770
Therefore, the lowest common multiple of 378,605,363,506,710 is 373450770.
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.
378 x 605 x 363 x 506 x 710 = 29823778492200
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.
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
605 : 1, 5, 11, 55, 121, 605
363 : 1, 3, 11, 33, 121, 363
506 : 1, 2, 11, 22, 23, 46, 253, 506
710 : 1, 2, 5, 10, 71, 142, 355, 710
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,605,363,506,710, is 1.
Now, the common factors can be found like this.
378:2x 3x 3x 3x 7
605:5x 11x 11
363:3x 11x 11
506:2x 11x 23
710:2x 5x 71
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 3x 5x 11x 11x 11 = 79860
Therefore, the value for common factors is 79860.
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 = 29823778492200/(1x79860)
LCM = 29823778492200/79860
LCM = 373450770
Thus, we can understand that the LCM of 378,605,363,506,710 is 373450770.
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FAQs on LCM of 378, 605, 363, 506, 710
1. What is the LCM of 378, 605, 363, 506, 710?
Answer: LCM of 378, 605, 363, 506, 710 is 373450770.
2. How to calculate the LCM of 378, 605, 363, 506, 710?
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 378, 605, 363, 506, 710.
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}.