LCM of 846, 314, 684, 302, 736
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 846, 314, 684, 302, 736 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 846, 314, 684, 302, 736. So, keep reading to learn more.
Given numbers are 846,314,684,302,736
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 846,314,684,302,736 is 140232405024.
Find LCM of 846,314,684,302,736 with Prime Factorization
| 2 | 846, 314, 684, 302, 736 |
| 2 | 423, 157, 342, 151, 368 |
| 3 | 423, 157, 171, 151, 184 |
| 3 | 141, 157, 57, 151, 184 |
| 47, 157, 19, 151, 184 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 47 x 157 x 19 x 151 x 184 = 140232405024
Therefore, the lowest common multiple of 846,314,684,302,736 is 140232405024.
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.
846 x 314 x 684 x 302 x 736 = 40386932646912
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.
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
314 : 1, 2, 157, 314
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
302 : 1, 2, 151, 302
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 846,314,684,302,736, is 2.
Now, the common factors can be found like this.
846:2x 3x 3x 47
314:2x 157
684:2x 2x 3x 3x 19
302:2x 151
736:2x 2x 2x 2x 2x 23
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 40386932646912/(2x144)
LCM = 40386932646912/288
LCM = 140232405024
Thus, we can understand that the LCM of 846,314,684,302,736 is 140232405024.
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FAQs on LCM of 846, 314, 684, 302, 736
1. What is the LCM of 846, 314, 684, 302, 736?
Answer: LCM of 846, 314, 684, 302, 736 is 140232405024.
2. How to calculate the LCM of 846, 314, 684, 302, 736?
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 846, 314, 684, 302, 736.
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}.