LCM of 732, 974, 931, 750, 114
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 732, 974, 931, 750, 114 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, 974, 931, 750, 114. So, keep reading to learn more.
Given numbers are 732,974,931,750,114
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 732,974,931,750,114 is 41485825500.
Find LCM of 732,974,931,750,114 with Prime Factorization
| 2 | 732, 974, 931, 750, 114 |
| 3 | 366, 487, 931, 375, 57 |
| 19 | 122, 487, 931, 125, 19 |
| 122, 487, 49, 125, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 122 x 487 x 49 x 125 x 1 = 41485825500
Therefore, the lowest common multiple of 732,974,931,750,114 is 41485825500.
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 974 x 931 x 750 x 114 = 56752609284000
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
974 : 1, 2, 487, 974
931 : 1, 7, 19, 49, 133, 931
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
114 : 1, 2, 3, 6, 19, 38, 57, 114
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,974,931,750,114, is 1.
Now, the common factors can be found like this.
732:2x 2x 3x 61
974:2x 487
931:7x 7x 19
750:2x 3x 5x 5x 5
114:2x 3x 19
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 3x 3x 19 = 1368
Therefore, the value for common factors is 1368.
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 = 56752609284000/(1x1368)
LCM = 56752609284000/1368
LCM = 41485825500
Thus, we can understand that the LCM of 732,974,931,750,114 is 41485825500.
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FAQs on LCM of 732, 974, 931, 750, 114
1. What is the LCM of 732, 974, 931, 750, 114?
Answer: LCM of 732, 974, 931, 750, 114 is 41485825500.
2. How to calculate the LCM of 732, 974, 931, 750, 114?
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, 974, 931, 750, 114.
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}.