Find the LCM of 602, 350, 476, 753 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 602, 350, 476, 753. So, keep reading to learn more.
Given numbers are 602,350,476,753
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 602,350,476,753 is 385310100.
Find LCM of 602,350,476,753 with Prime Factorization
2 | 602, 350, 476, 753 |
7 | 301, 175, 238, 753 |
43, 25, 34, 753 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 43 x 25 x 34 x 753 = 385310100
Therefore, the lowest common multiple of 602,350,476,753 is 385310100.
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.
602 x 350 x 476 x 753 = 75520779600
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.
602 : 1, 2, 7, 14, 43, 86, 301, 602
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
753 : 1, 3, 251, 753
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 602,350,476,753, is 1.
Now, the common factors can be found like this.
602:2x 7x 43
350:2x 5x 5x 7
476:2x 2x 7x 17
753:3x 251
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 7 = 196
Therefore, the value for common factors is 196.
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 = 75520779600/(1x196)
LCM = 75520779600/196
LCM = 385310100
Thus, we can understand that the LCM of 602,350,476,753 is 385310100.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 602, 350, 476, 753?
Answer: LCM of 602, 350, 476, 753 is 385310100.
2. How to calculate the LCM of 602, 350, 476, 753?
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 602, 350, 476, 753.
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}.