LCM of 362, 290, 740, 724, 142
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 362, 290, 740, 724, 142 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 362, 290, 740, 724, 142. So, keep reading to learn more.
Given numbers are 362,290,740,724,142
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 362,290,740,724,142 is 275782460.
Find LCM of 362,290,740,724,142 with Prime Factorization
| 2 | 362, 290, 740, 724, 142 |
| 2 | 181, 145, 370, 362, 71 |
| 5 | 181, 145, 185, 181, 71 |
| 181 | 181, 29, 37, 181, 71 |
| 1, 29, 37, 1, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 181 x 1 x 29 x 37 x 1 x 71 = 275782460
Therefore, the lowest common multiple of 362,290,740,724,142 is 275782460.
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.
362 x 290 x 740 x 724 x 142 = 7986660041600
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.
362 : 1, 2, 181, 362
290 : 1, 2, 5, 10, 29, 58, 145, 290
740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
724 : 1, 2, 4, 181, 362, 724
142 : 1, 2, 71, 142
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,290,740,724,142, is 2.
Now, the common factors can be found like this.
362:2x 181
290:2x 5x 29
740:2x 2x 5x 37
724:2x 2x 181
142:2x 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 2x 2x 5x 181 = 14480
Therefore, the value for common factors is 14480.
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 = 7986660041600/(2x14480)
LCM = 7986660041600/28960
LCM = 275782460
Thus, we can understand that the LCM of 362,290,740,724,142 is 275782460.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 362, 290, 740, 724, 142
1. What is the LCM of 362, 290, 740, 724, 142?
Answer: LCM of 362, 290, 740, 724, 142 is 275782460.
2. How to calculate the LCM of 362, 290, 740, 724, 142?
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 362, 290, 740, 724, 142.
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}.