Find the LCM of 354, 721, 735, 507 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 354, 721, 735, 507. So, keep reading to learn more.
Given numbers are 354,721,735,507
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 354,721,735,507 is 1509709110.
Find LCM of 354,721,735,507 with Prime Factorization
3 | 354, 721, 735, 507 |
7 | 118, 721, 245, 169 |
118, 103, 35, 169 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 118 x 103 x 35 x 169 = 1509709110
Therefore, the lowest common multiple of 354,721,735,507 is 1509709110.
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.
354 x 721 x 735 x 507 = 95111673930
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.
354 : 1, 2, 3, 6, 59, 118, 177, 354
721 : 1, 7, 103, 721
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
507 : 1, 3, 13, 39, 169, 507
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,721,735,507, is 1.
Now, the common factors can be found like this.
354:2x 3x 59
721:7x 103
735:3x 5x 7x 7
507:3x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7 = 63
Therefore, the value for common factors is 63.
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 = 95111673930/(1x63)
LCM = 95111673930/63
LCM = 1509709110
Thus, we can understand that the LCM of 354,721,735,507 is 1509709110.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 354, 721, 735, 507?
Answer: LCM of 354, 721, 735, 507 is 1509709110.
2. How to calculate the LCM of 354, 721, 735, 507?
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 354, 721, 735, 507.
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}.