LCM of 102, 945, 465, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 102, 945, 465, 749 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 102, 945, 465, 749. So, keep reading to learn more.
Given numbers are 102,945,465,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 102,945,465,749 is 106575210.
Find LCM of 102,945,465,749 with Prime Factorization
| 3 | 102, 945, 465, 749 |
| 5 | 34, 315, 155, 749 |
| 7 | 34, 63, 31, 749 |
| 34, 9, 31, 107 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 34 x 9 x 31 x 107 = 106575210
Therefore, the lowest common multiple of 102,945,465,749 is 106575210.
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.
102 x 945 x 465 x 749 = 33571191150
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.
102 : 1, 2, 3, 6, 17, 34, 51, 102
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
465 : 1, 3, 5, 15, 31, 93, 155, 465
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,945,465,749, is 1.
Now, the common factors can be found like this.
102:2x 3x 17
945:3x 3x 3x 5x 7
465:3x 5x 31
749:7x 107
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 5x 7 = 315
Therefore, the value for common factors is 315.
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 = 33571191150/(1x315)
LCM = 33571191150/315
LCM = 106575210
Thus, we can understand that the LCM of 102,945,465,749 is 106575210.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 102, 945, 465, 749
1. What is the LCM of 102, 945, 465, 749?
Answer: LCM of 102, 945, 465, 749 is 106575210.
2. How to calculate the LCM of 102, 945, 465, 749?
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 102, 945, 465, 749.
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}.