Find the LCM of 334, 363, 276, 514 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 334, 363, 276, 514. So, keep reading to learn more.
Given numbers are 334,363,276,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 334,363,276,514 is 1433322924.
Find LCM of 334,363,276,514 with Prime Factorization
2 | 334, 363, 276, 514 |
3 | 167, 363, 138, 257 |
167, 121, 46, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 167 x 121 x 46 x 257 = 1433322924
Therefore, the lowest common multiple of 334,363,276,514 is 1433322924.
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.
334 x 363 x 276 x 514 = 17199875088
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.
334 : 1, 2, 167, 334
363 : 1, 3, 11, 33, 121, 363
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,363,276,514, is 1.
Now, the common factors can be found like this.
334:2x 167
363:3x 11x 11
276:2x 2x 3x 23
514:2x 257
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 = 17199875088/(1x12)
LCM = 17199875088/12
LCM = 1433322924
Thus, we can understand that the LCM of 334,363,276,514 is 1433322924.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 334, 363, 276, 514?
Answer: LCM of 334, 363, 276, 514 is 1433322924.
2. How to calculate the LCM of 334, 363, 276, 514?
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 334, 363, 276, 514.
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}.