LCM of 749, 863, 945, 225, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 863, 945, 225, 972 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 749, 863, 945, 225, 972. So, keep reading to learn more.
Given numbers are 749,863,945,225,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,863,945,225,972 is 15707204100.
Find LCM of 749,863,945,225,972 with Prime Factorization
| 3 | 749, 863, 945, 225, 972 |
| 3 | 749, 863, 315, 75, 324 |
| 3 | 749, 863, 105, 25, 108 |
| 5 | 749, 863, 35, 25, 36 |
| 7 | 749, 863, 7, 5, 36 |
| 107, 863, 1, 5, 36 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 7 x 107 x 863 x 1 x 5 x 36 = 15707204100
Therefore, the lowest common multiple of 749,863,945,225,972 is 15707204100.
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.
749 x 863 x 945 x 225 x 972 = 133589770870500
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.
749 : 1, 7, 107, 749
863 : 1, 863
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
225 : 1, 3, 5, 9, 15, 25, 45, 75, 225
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,863,945,225,972, is 1.
Now, the common factors can be found like this.
749:7x 107
863:863
945:3x 3x 3x 5x 7
225:3x 3x 5x 5
972:2x 2x 3x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3x 5x 7 = 8505
Therefore, the value for common factors is 8505.
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 = 133589770870500/(1x8505)
LCM = 133589770870500/8505
LCM = 15707204100
Thus, we can understand that the LCM of 749,863,945,225,972 is 15707204100.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 749, 863, 945, 225, 972
1. What is the LCM of 749, 863, 945, 225, 972?
Answer: LCM of 749, 863, 945, 225, 972 is 15707204100.
2. How to calculate the LCM of 749, 863, 945, 225, 972?
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 749, 863, 945, 225, 972.
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}.