Find the LCM of 292, 902, 632, 134, 402 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 292, 902, 632, 134, 402. So, keep reading to learn more.
Given numbers are 292,902,632,134,402
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 292,902,632,134,402 is 4182274536.
Find LCM of 292,902,632,134,402 with Prime Factorization
2 | 292, 902, 632, 134, 402 |
2 | 146, 451, 316, 67, 201 |
67 | 73, 451, 158, 67, 201 |
73, 451, 158, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 67 x 73 x 451 x 158 x 1 x 3 = 4182274536
Therefore, the lowest common multiple of 292,902,632,134,402 is 4182274536.
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.
292 x 902 x 632 x 134 x 402 = 8966796605184
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.
292 : 1, 2, 4, 73, 146, 292
902 : 1, 2, 11, 22, 41, 82, 451, 902
632 : 1, 2, 4, 8, 79, 158, 316, 632
134 : 1, 2, 67, 134
402 : 1, 2, 3, 6, 67, 134, 201, 402
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,902,632,134,402, is 2.
Now, the common factors can be found like this.
292:2x 2x 73
902:2x 11x 41
632:2x 2x 2x 79
134:2x 67
402:2x 3x 67
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 67 = 1072
Therefore, the value for common factors is 1072.
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 = 8966796605184/(2x1072)
LCM = 8966796605184/2144
LCM = 4182274536
Thus, we can understand that the LCM of 292,902,632,134,402 is 4182274536.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 292, 902, 632, 134, 402?
Answer: LCM of 292, 902, 632, 134, 402 is 4182274536.
2. How to calculate the LCM of 292, 902, 632, 134, 402?
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 292, 902, 632, 134, 402.
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}.