LCM of 256, 624, 916, 753, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 256, 624, 916, 753, 342 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 256, 624, 916, 753, 342. So, keep reading to learn more.
Given numbers are 256,624,916,753,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 256,624,916,753,342 is 32710609152.
Find LCM of 256,624,916,753,342 with Prime Factorization
| 2 | 256, 624, 916, 753, 342 |
| 2 | 128, 312, 458, 753, 171 |
| 2 | 64, 156, 229, 753, 171 |
| 2 | 32, 78, 229, 753, 171 |
| 3 | 16, 39, 229, 753, 171 |
| 16, 13, 229, 251, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 16 x 13 x 229 x 251 x 57 = 32710609152
Therefore, the lowest common multiple of 256,624,916,753,342 is 32710609152.
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.
256 x 624 x 916 x 753 x 342 = 37682621743104
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.
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
916 : 1, 2, 4, 229, 458, 916
753 : 1, 3, 251, 753
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 256,624,916,753,342, is 1.
Now, the common factors can be found like this.
256:2x 2x 2x 2x 2x 2x 2x 2
624:2x 2x 2x 2x 3x 13
916:2x 2x 229
753:3x 251
342:2x 3x 3x 19
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 2x 2x 2x 3x 3 = 1152
Therefore, the value for common factors is 1152.
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 = 37682621743104/(1x1152)
LCM = 37682621743104/1152
LCM = 32710609152
Thus, we can understand that the LCM of 256,624,916,753,342 is 32710609152.
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FAQs on LCM of 256, 624, 916, 753, 342
1. What is the LCM of 256, 624, 916, 753, 342?
Answer: LCM of 256, 624, 916, 753, 342 is 32710609152.
2. How to calculate the LCM of 256, 624, 916, 753, 342?
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 256, 624, 916, 753, 342.
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}.