LCM of 732, 188, 962, 671, 470
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 732, 188, 962, 671, 470 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 732, 188, 962, 671, 470. So, keep reading to learn more.
Given numbers are 732,188,962,671,470
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 732,188,962,671,470 is 910157820.
Find LCM of 732,188,962,671,470 with Prime Factorization
| 2 | 732, 188, 962, 671, 470 |
| 2 | 366, 94, 481, 671, 235 |
| 47 | 183, 47, 481, 671, 235 |
| 61 | 183, 1, 481, 671, 5 |
| 3, 1, 481, 11, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 47 x 61 x 3 x 1 x 481 x 11 x 5 = 910157820
Therefore, the lowest common multiple of 732,188,962,671,470 is 910157820.
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.
732 x 188 x 962 x 671 x 470 = 41750759519040
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.
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
188 : 1, 2, 4, 47, 94, 188
962 : 1, 2, 13, 26, 37, 74, 481, 962
671 : 1, 11, 61, 671
470 : 1, 2, 5, 10, 47, 94, 235, 470
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,188,962,671,470, is 1.
Now, the common factors can be found like this.
732:2x 2x 3x 61
188:2x 2x 47
962:2x 13x 37
671:11x 61
470:2x 5x 47
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 47x 61 = 45872
Therefore, the value for common factors is 45872.
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 = 41750759519040/(1x45872)
LCM = 41750759519040/45872
LCM = 910157820
Thus, we can understand that the LCM of 732,188,962,671,470 is 910157820.
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FAQs on LCM of 732, 188, 962, 671, 470
1. What is the LCM of 732, 188, 962, 671, 470?
Answer: LCM of 732, 188, 962, 671, 470 is 910157820.
2. How to calculate the LCM of 732, 188, 962, 671, 470?
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 732, 188, 962, 671, 470.
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}.