LCM of 750, 374, 400, 224, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 750, 374, 400, 224, 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 750, 374, 400, 224, 748. So, keep reading to learn more.
Given numbers are 750,374,400,224,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 750,374,400,224,748 is 15708000.
Find LCM of 750,374,400,224,748 with Prime Factorization
| 2 | 750, 374, 400, 224, 748 |
| 2 | 375, 187, 200, 112, 374 |
| 2 | 375, 187, 100, 56, 187 |
| 2 | 375, 187, 50, 28, 187 |
| 5 | 375, 187, 25, 14, 187 |
| 5 | 75, 187, 5, 14, 187 |
| 11 | 15, 187, 1, 14, 187 |
| 17 | 15, 17, 1, 14, 17 |
| 15, 1, 1, 14, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 5 x 11 x 17 x 15 x 1 x 1 x 14 x 1 = 15708000
Therefore, the lowest common multiple of 750,374,400,224,748 is 15708000.
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.
750 x 374 x 400 x 224 x 748 = 18799334400000
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.
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
374 : 1, 2, 11, 17, 22, 34, 187, 374
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,374,400,224,748, is 2.
Now, the common factors can be found like this.
750:2x 3x 5x 5x 5
374:2x 11x 17
400:2x 2x 2x 2x 5x 5
224:2x 2x 2x 2x 2x 7
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 2x 2x 2x 5x 5x 11x 17 = 598400
Therefore, the value for common factors is 598400.
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 = 18799334400000/(2x598400)
LCM = 18799334400000/1196800
LCM = 15708000
Thus, we can understand that the LCM of 750,374,400,224,748 is 15708000.
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FAQs on LCM of 750, 374, 400, 224, 748
1. What is the LCM of 750, 374, 400, 224, 748?
Answer: LCM of 750, 374, 400, 224, 748 is 15708000.
2. How to calculate the LCM of 750, 374, 400, 224, 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 750, 374, 400, 224, 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}.