LCM of 332, 748, 189, 868
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 332, 748, 189, 868 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 332, 748, 189, 868. So, keep reading to learn more.
Given numbers are 332,748,189,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 332,748,189,868 is 363750156.
Find LCM of 332,748,189,868 with Prime Factorization
| 2 | 332, 748, 189, 868 |
| 2 | 166, 374, 189, 434 |
| 7 | 83, 187, 189, 217 |
| 83, 187, 27, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 83 x 187 x 27 x 31 = 363750156
Therefore, the lowest common multiple of 332,748,189,868 is 363750156.
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.
332 x 748 x 189 x 868 = 40740017472
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.
332 : 1, 2, 4, 83, 166, 332
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
189 : 1, 3, 7, 9, 21, 27, 63, 189
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 332,748,189,868, is 1.
Now, the common factors can be found like this.
332:2x 2x 83
748:2x 2x 11x 17
189:3x 3x 3x 7
868:2x 2x 7x 31
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 7 = 112
Therefore, the value for common factors is 112.
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 = 40740017472/(1x112)
LCM = 40740017472/112
LCM = 363750156
Thus, we can understand that the LCM of 332,748,189,868 is 363750156.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 332, 748, 189, 868
1. What is the LCM of 332, 748, 189, 868?
Answer: LCM of 332, 748, 189, 868 is 363750156.
2. How to calculate the LCM of 332, 748, 189, 868?
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 332, 748, 189, 868.
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}.