LCM of 716, 742, 354, 904
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 716, 742, 354, 904 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 716, 742, 354, 904. So, keep reading to learn more.
Given numbers are 716,742,354,904
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 716,742,354,904 is 10625971272.
Find LCM of 716,742,354,904 with Prime Factorization
| 2 | 716, 742, 354, 904 |
| 2 | 358, 371, 177, 452 |
| 179, 371, 177, 226 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 179 x 371 x 177 x 226 = 10625971272
Therefore, the lowest common multiple of 716,742,354,904 is 10625971272.
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.
716 x 742 x 354 x 904 = 170015540352
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.
716 : 1, 2, 4, 179, 358, 716
742 : 1, 2, 7, 14, 53, 106, 371, 742
354 : 1, 2, 3, 6, 59, 118, 177, 354
904 : 1, 2, 4, 8, 113, 226, 452, 904
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,742,354,904, is 2.
Now, the common factors can be found like this.
716:2x 2x 179
742:2x 7x 53
354:2x 3x 59
904:2x 2x 2x 113
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 2 = 8
Therefore, the value for common factors is 8.
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 = 170015540352/(2x8)
LCM = 170015540352/16
LCM = 10625971272
Thus, we can understand that the LCM of 716,742,354,904 is 10625971272.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 716, 742, 354, 904
1. What is the LCM of 716, 742, 354, 904?
Answer: LCM of 716, 742, 354, 904 is 10625971272.
2. How to calculate the LCM of 716, 742, 354, 904?
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 716, 742, 354, 904.
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}.