Find the LCM of 972, 138, 902, 142 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 972, 138, 902, 142. So, keep reading to learn more.
Given numbers are 972,138,902,142
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,138,902,142 is 715861476.
Find LCM of 972,138,902,142 with Prime Factorization
2 | 972, 138, 902, 142 |
3 | 486, 69, 451, 71 |
162, 23, 451, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 162 x 23 x 451 x 71 = 715861476
Therefore, the lowest common multiple of 972,138,902,142 is 715861476.
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.
972 x 138 x 902 x 142 = 17180675424
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.
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
138 : 1, 2, 3, 6, 23, 46, 69, 138
902 : 1, 2, 11, 22, 41, 82, 451, 902
142 : 1, 2, 71, 142
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,138,902,142, is 2.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
138:2x 3x 23
902:2x 11x 41
142:2x 71
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 3 = 12
Therefore, the value for common factors is 12.
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 = 17180675424/(2x12)
LCM = 17180675424/24
LCM = 715861476
Thus, we can understand that the LCM of 972,138,902,142 is 715861476.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 972, 138, 902, 142?
Answer: LCM of 972, 138, 902, 142 is 715861476.
2. How to calculate the LCM of 972, 138, 902, 142?
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 972, 138, 902, 142.
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}.