LCM of 728, 236, 302, 708
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 728, 236, 302, 708 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 728, 236, 302, 708. So, keep reading to learn more.
Given numbers are 728,236,302,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 728,236,302,708 is 19457256.
Find LCM of 728,236,302,708 with Prime Factorization
| 2 | 728, 236, 302, 708 |
| 2 | 364, 118, 151, 354 |
| 59 | 182, 59, 151, 177 |
| 182, 1, 151, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 59 x 182 x 1 x 151 x 3 = 19457256
Therefore, the lowest common multiple of 728,236,302,708 is 19457256.
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.
728 x 236 x 302 x 708 = 36735299328
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.
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
236 : 1, 2, 4, 59, 118, 236
302 : 1, 2, 151, 302
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,236,302,708, is 2.
Now, the common factors can be found like this.
728:2x 2x 2x 7x 13
236:2x 2x 59
302:2x 151
708:2x 2x 3x 59
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 59 = 944
Therefore, the value for common factors is 944.
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 = 36735299328/(2x944)
LCM = 36735299328/1888
LCM = 19457256
Thus, we can understand that the LCM of 728,236,302,708 is 19457256.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 728, 236, 302, 708
1. What is the LCM of 728, 236, 302, 708?
Answer: LCM of 728, 236, 302, 708 is 19457256.
2. How to calculate the LCM of 728, 236, 302, 708?
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 728, 236, 302, 708.
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}.