LCM of 860, 371, 745, 600, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 860, 371, 745, 600, 748 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 860, 371, 745, 600, 748. So, keep reading to learn more.
Given numbers are 860,371,745,600,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 860,371,745,600,748 is 266699063400.
Find LCM of 860,371,745,600,748 with Prime Factorization
| 2 | 860, 371, 745, 600, 748 |
| 2 | 430, 371, 745, 300, 374 |
| 5 | 215, 371, 745, 150, 187 |
| 43, 371, 149, 30, 187 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 43 x 371 x 149 x 30 x 187 = 266699063400
Therefore, the lowest common multiple of 860,371,745,600,748 is 266699063400.
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.
860 x 371 x 745 x 600 x 748 = 106679625360000
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.
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
371 : 1, 7, 53, 371
745 : 1, 5, 149, 745
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,371,745,600,748, is 1.
Now, the common factors can be found like this.
860:2x 2x 5x 43
371:7x 53
745:5x 149
600:2x 2x 2x 3x 5x 5
748:2x 2x 11x 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 2x 2x 2x 5x 5 = 400
Therefore, the value for common factors is 400.
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 = 106679625360000/(1x400)
LCM = 106679625360000/400
LCM = 266699063400
Thus, we can understand that the LCM of 860,371,745,600,748 is 266699063400.
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FAQs on LCM of 860, 371, 745, 600, 748
1. What is the LCM of 860, 371, 745, 600, 748?
Answer: LCM of 860, 371, 745, 600, 748 is 266699063400.
2. How to calculate the LCM of 860, 371, 745, 600, 748?
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 860, 371, 745, 600, 748.
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}.