LCM of 374, 506, 252, 402
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 374, 506, 252, 402 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, 506, 252, 402. So, keep reading to learn more.
Given numbers are 374,506,252,402
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 374,506,252,402 is 72618084.
Find LCM of 374,506,252,402 with Prime Factorization
| 2 | 374, 506, 252, 402 |
| 3 | 187, 253, 126, 201 |
| 11 | 187, 253, 42, 67 |
| 17, 23, 42, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 23 x 42 x 67 = 72618084
Therefore, the lowest common multiple of 374,506,252,402 is 72618084.
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 506 x 252 x 402 = 19171174176
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
506 : 1, 2, 11, 22, 23, 46, 253, 506
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
402 : 1, 2, 3, 6, 67, 134, 201, 402
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,506,252,402, is 2.
Now, the common factors can be found like this.
374:2x 11x 17
506:2x 11x 23
252:2x 2x 3x 3x 7
402:2x 3x 67
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 11 = 132
Therefore, the value for common factors is 132.
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 = 19171174176/(2x132)
LCM = 19171174176/264
LCM = 72618084
Thus, we can understand that the LCM of 374,506,252,402 is 72618084.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 374, 506, 252, 402
1. What is the LCM of 374, 506, 252, 402?
Answer: LCM of 374, 506, 252, 402 is 72618084.
2. How to calculate the LCM of 374, 506, 252, 402?
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, 506, 252, 402.
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}.