LCM of 626, 118, 609, 967, 944
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 626, 118, 609, 967, 944 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 626, 118, 609, 967, 944. So, keep reading to learn more.
Given numbers are 626,118,609,967,944
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 626,118,609,967,944 is 174004347216.
Find LCM of 626,118,609,967,944 with Prime Factorization
| 2 | 626, 118, 609, 967, 944 |
| 59 | 313, 59, 609, 967, 472 |
| 313, 1, 609, 967, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 59 x 313 x 1 x 609 x 967 x 8 = 174004347216
Therefore, the lowest common multiple of 626,118,609,967,944 is 174004347216.
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.
626 x 118 x 609 x 967 x 944 = 41065025942976
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.
626 : 1, 2, 313, 626
118 : 1, 2, 59, 118
609 : 1, 3, 7, 21, 29, 87, 203, 609
967 : 1, 967
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 626,118,609,967,944, is 1.
Now, the common factors can be found like this.
626:2x 313
118:2x 59
609:3x 7x 29
967:967
944:2x 2x 2x 2x 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 59 = 236
Therefore, the value for common factors is 236.
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 = 41065025942976/(1x236)
LCM = 41065025942976/236
LCM = 174004347216
Thus, we can understand that the LCM of 626,118,609,967,944 is 174004347216.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 626, 118, 609, 967, 944
1. What is the LCM of 626, 118, 609, 967, 944?
Answer: LCM of 626, 118, 609, 967, 944 is 174004347216.
2. How to calculate the LCM of 626, 118, 609, 967, 944?
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 626, 118, 609, 967, 944.
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}.