LCM of 274, 648, 836, 596, 708
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 274, 648, 836, 596, 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 274, 648, 836, 596, 708. So, keep reading to learn more.
Given numbers are 274,648,836,596,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 274,648,836,596,708 is 163109831544.
Find LCM of 274,648,836,596,708 with Prime Factorization
| 2 | 274, 648, 836, 596, 708 |
| 2 | 137, 324, 418, 298, 354 |
| 3 | 137, 162, 209, 149, 177 |
| 137, 54, 209, 149, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 137 x 54 x 209 x 149 x 59 = 163109831544
Therefore, the lowest common multiple of 274,648,836,596,708 is 163109831544.
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.
274 x 648 x 836 x 596 x 708 = 62634175312896
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.
274 : 1, 2, 137, 274
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
596 : 1, 2, 4, 149, 298, 596
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 274,648,836,596,708, is 2.
Now, the common factors can be found like this.
274:2x 137
648:2x 2x 2x 3x 3x 3x 3
836:2x 2x 11x 19
596:2x 2x 149
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 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 62634175312896/(2x192)
LCM = 62634175312896/384
LCM = 163109831544
Thus, we can understand that the LCM of 274,648,836,596,708 is 163109831544.
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FAQs on LCM of 274, 648, 836, 596, 708
1. What is the LCM of 274, 648, 836, 596, 708?
Answer: LCM of 274, 648, 836, 596, 708 is 163109831544.
2. How to calculate the LCM of 274, 648, 836, 596, 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 274, 648, 836, 596, 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}.