LCM of 149, 527, 708, 559, 918
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 149, 527, 708, 559, 918 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 149, 527, 708, 559, 918. So, keep reading to learn more.
Given numbers are 149,527,708,559,918
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 149,527,708,559,918 is 279694842804.
Find LCM of 149,527,708,559,918 with Prime Factorization
| 2 | 149, 527, 708, 559, 918 |
| 3 | 149, 527, 354, 559, 459 |
| 17 | 149, 527, 118, 559, 153 |
| 149, 31, 118, 559, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 149 x 31 x 118 x 559 x 9 = 279694842804
Therefore, the lowest common multiple of 149,527,708,559,918 is 279694842804.
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.
149 x 527 x 708 x 559 x 918 = 28528873966008
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.
149 : 1, 149
527 : 1, 17, 31, 527
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
559 : 1, 13, 43, 559
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,527,708,559,918, is 1.
Now, the common factors can be found like this.
149:149
527:17x 31
708:2x 2x 3x 59
559:13x 43
918:2x 3x 3x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17 = 102
Therefore, the value for common factors is 102.
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 = 28528873966008/(1x102)
LCM = 28528873966008/102
LCM = 279694842804
Thus, we can understand that the LCM of 149,527,708,559,918 is 279694842804.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 149, 527, 708, 559, 918
1. What is the LCM of 149, 527, 708, 559, 918?
Answer: LCM of 149, 527, 708, 559, 918 is 279694842804.
2. How to calculate the LCM of 149, 527, 708, 559, 918?
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 149, 527, 708, 559, 918.
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}.