LCM of 374, 105, 506, 630
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 374, 105, 506, 630 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 374, 105, 506, 630. So, keep reading to learn more.
Given numbers are 374,105,506,630
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 374,105,506,630 is 2709630.
Find LCM of 374,105,506,630 with Prime Factorization
| 2 | 374, 105, 506, 630 |
| 3 | 187, 105, 253, 315 |
| 5 | 187, 35, 253, 105 |
| 7 | 187, 7, 253, 21 |
| 11 | 187, 1, 253, 3 |
| 17, 1, 23, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 11 x 17 x 1 x 23 x 3 = 2709630
Therefore, the lowest common multiple of 374,105,506,630 is 2709630.
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.
374 x 105 x 506 x 630 = 12518490600
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.
374 : 1, 2, 11, 17, 22, 34, 187, 374
105 : 1, 3, 5, 7, 15, 21, 35, 105
506 : 1, 2, 11, 22, 23, 46, 253, 506
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,105,506,630, is 1.
Now, the common factors can be found like this.
374:2x 11x 17
105:3x 5x 7
506:2x 11x 23
630:2x 3x 3x 5x 7
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 7x 11 = 4620
Therefore, the value for common factors is 4620.
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 = 12518490600/(1x4620)
LCM = 12518490600/4620
LCM = 2709630
Thus, we can understand that the LCM of 374,105,506,630 is 2709630.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 374, 105, 506, 630
1. What is the LCM of 374, 105, 506, 630?
Answer: LCM of 374, 105, 506, 630 is 2709630.
2. How to calculate the LCM of 374, 105, 506, 630?
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 374, 105, 506, 630.
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}.