LCM of 688, 744, 762, 989, 345
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 688, 744, 762, 989, 345 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 688, 744, 762, 989, 345. So, keep reading to learn more.
Given numbers are 688,744,762,989,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,744,762,989,345 is 934486320.
Find LCM of 688,744,762,989,345 with Prime Factorization
| 2 | 688, 744, 762, 989, 345 |
| 2 | 344, 372, 381, 989, 345 |
| 2 | 172, 186, 381, 989, 345 |
| 3 | 86, 93, 381, 989, 345 |
| 23 | 86, 31, 127, 989, 115 |
| 43 | 86, 31, 127, 43, 5 |
| 2, 31, 127, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 23 x 43 x 2 x 31 x 127 x 1 x 5 = 934486320
Therefore, the lowest common multiple of 688,744,762,989,345 is 934486320.
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.
688 x 744 x 762 x 989 x 345 = 133085803749120
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.
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
762 : 1, 2, 3, 6, 127, 254, 381, 762
989 : 1, 23, 43, 989
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,744,762,989,345, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
744:2x 2x 2x 3x 31
762:2x 3x 127
989:23x 43
345:3x 5x 23
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 3x 3x 23x 43 = 142416
Therefore, the value for common factors is 142416.
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 = 133085803749120/(1x142416)
LCM = 133085803749120/142416
LCM = 934486320
Thus, we can understand that the LCM of 688,744,762,989,345 is 934486320.
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FAQs on LCM of 688, 744, 762, 989, 345
1. What is the LCM of 688, 744, 762, 989, 345?
Answer: LCM of 688, 744, 762, 989, 345 is 934486320.
2. How to calculate the LCM of 688, 744, 762, 989, 345?
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 688, 744, 762, 989, 345.
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}.