Find the LCM of 154, 679, 572, 234 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 154, 679, 572, 234. So, keep reading to learn more.
Given numbers are 154,679,572,234
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 154,679,572,234 is 3495492.
Find LCM of 154,679,572,234 with Prime Factorization
2 | 154, 679, 572, 234 |
7 | 77, 679, 286, 117 |
11 | 11, 97, 286, 117 |
13 | 1, 97, 26, 117 |
1, 97, 2, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 13 x 1 x 97 x 2 x 9 = 3495492
Therefore, the lowest common multiple of 154,679,572,234 is 3495492.
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.
154 x 679 x 572 x 234 = 13995949968
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.
154 : 1, 2, 7, 11, 14, 22, 77, 154
679 : 1, 7, 97, 679
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,679,572,234, is 1.
Now, the common factors can be found like this.
154:2x 7x 11
679:7x 97
572:2x 2x 11x 13
234:2x 3x 3x 13
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 7x 11x 13 = 4004
Therefore, the value for common factors is 4004.
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 = 13995949968/(1x4004)
LCM = 13995949968/4004
LCM = 3495492
Thus, we can understand that the LCM of 154,679,572,234 is 3495492.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 154, 679, 572, 234?
Answer: LCM of 154, 679, 572, 234 is 3495492.
2. How to calculate the LCM of 154, 679, 572, 234?
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 154, 679, 572, 234.
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}.