LCM of 668, 506, 695, 270, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 668, 506, 695, 270, 748 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 668, 506, 695, 270, 748. So, keep reading to learn more.
Given numbers are 668,506,695,270,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 668,506,695,270,748 is 53913121020.
Find LCM of 668,506,695,270,748 with Prime Factorization
| 2 | 668, 506, 695, 270, 748 |
| 2 | 334, 253, 695, 135, 374 |
| 5 | 167, 253, 695, 135, 187 |
| 11 | 167, 253, 139, 27, 187 |
| 167, 23, 139, 27, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 167 x 23 x 139 x 27 x 17 = 53913121020
Therefore, the lowest common multiple of 668,506,695,270,748 is 53913121020.
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.
668 x 506 x 695 x 270 x 748 = 47443546497600
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.
668 : 1, 2, 4, 167, 334, 668
506 : 1, 2, 11, 22, 23, 46, 253, 506
695 : 1, 5, 139, 695
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,506,695,270,748, is 1.
Now, the common factors can be found like this.
668:2x 2x 167
506:2x 11x 23
695:5x 139
270:2x 3x 3x 3x 5
748:2x 2x 11x 17
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 5x 11 = 880
Therefore, the value for common factors is 880.
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 = 47443546497600/(1x880)
LCM = 47443546497600/880
LCM = 53913121020
Thus, we can understand that the LCM of 668,506,695,270,748 is 53913121020.
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FAQs on LCM of 668, 506, 695, 270, 748
1. What is the LCM of 668, 506, 695, 270, 748?
Answer: LCM of 668, 506, 695, 270, 748 is 53913121020.
2. How to calculate the LCM of 668, 506, 695, 270, 748?
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 668, 506, 695, 270, 748.
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}.