LCM of 616, 708, 407, 814, 128
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 616, 708, 407, 814, 128 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 616, 708, 407, 814, 128. So, keep reading to learn more.
Given numbers are 616,708,407,814,128
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 616,708,407,814,128 is 64546944.
Find LCM of 616,708,407,814,128 with Prime Factorization
| 2 | 616, 708, 407, 814, 128 |
| 2 | 308, 354, 407, 407, 64 |
| 2 | 154, 177, 407, 407, 32 |
| 11 | 77, 177, 407, 407, 16 |
| 37 | 7, 177, 37, 37, 16 |
| 7, 177, 1, 1, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 37 x 7 x 177 x 1 x 1 x 16 = 64546944
Therefore, the lowest common multiple of 616,708,407,814,128 is 64546944.
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.
616 x 708 x 407 x 814 x 128 = 18494506770432
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.
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
407 : 1, 11, 37, 407
814 : 1, 2, 11, 22, 37, 74, 407, 814
128 : 1, 2, 4, 8, 16, 32, 64, 128
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,708,407,814,128, is 1.
Now, the common factors can be found like this.
616:2x 2x 2x 7x 11
708:2x 2x 3x 59
407:11x 37
814:2x 11x 37
128:2x 2x 2x 2x 2x 2x 2
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 11x 11x 37 = 286528
Therefore, the value for common factors is 286528.
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 = 18494506770432/(1x286528)
LCM = 18494506770432/286528
LCM = 64546944
Thus, we can understand that the LCM of 616,708,407,814,128 is 64546944.
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FAQs on LCM of 616, 708, 407, 814, 128
1. What is the LCM of 616, 708, 407, 814, 128?
Answer: LCM of 616, 708, 407, 814, 128 is 64546944.
2. How to calculate the LCM of 616, 708, 407, 814, 128?
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 616, 708, 407, 814, 128.
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}.