Find the LCM of 743, 195, 676, 613 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 743, 195, 676, 613. So, keep reading to learn more.
Given numbers are 743,195,676,613
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 743,195,676,613 is 4618354260.
Find LCM of 743,195,676,613 with Prime Factorization
13 | 743, 195, 676, 613 |
743, 15, 52, 613 |
Multiply the prime numbers at the bottom and the left side.
13 x 743 x 15 x 52 x 613 = 4618354260
Therefore, the lowest common multiple of 743,195,676,613 is 4618354260.
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.
743 x 195 x 676 x 613 = 60038605380
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.
743 : 1, 743
195 : 1, 3, 5, 13, 15, 39, 65, 195
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
613 : 1, 613
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,195,676,613, is 1.
Now, the common factors can be found like this.
743:743
195:3x 5x 13
676:2x 2x 13x 13
613:613
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 60038605380/(1x13)
LCM = 60038605380/13
LCM = 4618354260
Thus, we can understand that the LCM of 743,195,676,613 is 4618354260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 743, 195, 676, 613?
Answer: LCM of 743, 195, 676, 613 is 4618354260.
2. How to calculate the LCM of 743, 195, 676, 613?
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 743, 195, 676, 613.
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}.