LCM of 742, 748, 308, 316, 118
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 742, 748, 308, 316, 118 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 742, 748, 308, 316, 118. So, keep reading to learn more.
Given numbers are 742,748,308,316,118
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,748,308,316,118 is 1293464788.
Find LCM of 742,748,308,316,118 with Prime Factorization
| 2 | 742, 748, 308, 316, 118 |
| 2 | 371, 374, 154, 158, 59 |
| 7 | 371, 187, 77, 79, 59 |
| 11 | 53, 187, 11, 79, 59 |
| 53, 17, 1, 79, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 11 x 53 x 17 x 1 x 79 x 59 = 1293464788
Therefore, the lowest common multiple of 742,748,308,316,118 is 1293464788.
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.
742 x 748 x 308 x 316 x 118 = 6374194475264
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.
742 : 1, 2, 7, 14, 53, 106, 371, 742
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
316 : 1, 2, 4, 79, 158, 316
118 : 1, 2, 59, 118
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,748,308,316,118, is 2.
Now, the common factors can be found like this.
742:2x 7x 53
748:2x 2x 11x 17
308:2x 2x 7x 11
316:2x 2x 79
118:2x 59
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 2x 2x 2x 7x 11 = 2464
Therefore, the value for common factors is 2464.
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 = 6374194475264/(2x2464)
LCM = 6374194475264/4928
LCM = 1293464788
Thus, we can understand that the LCM of 742,748,308,316,118 is 1293464788.
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FAQs on LCM of 742, 748, 308, 316, 118
1. What is the LCM of 742, 748, 308, 316, 118?
Answer: LCM of 742, 748, 308, 316, 118 is 1293464788.
2. How to calculate the LCM of 742, 748, 308, 316, 118?
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 742, 748, 308, 316, 118.
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}.