LCM of 278, 506, 874, 752, 736
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 278, 506, 874, 752, 736 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 278, 506, 874, 752, 736. So, keep reading to learn more.
Given numbers are 278,506,874,752,736
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,506,874,752,736 is 1004932192.
Find LCM of 278,506,874,752,736 with Prime Factorization
| 2 | 278, 506, 874, 752, 736 |
| 2 | 139, 253, 437, 376, 368 |
| 2 | 139, 253, 437, 188, 184 |
| 2 | 139, 253, 437, 94, 92 |
| 23 | 139, 253, 437, 47, 46 |
| 139, 11, 19, 47, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 23 x 139 x 11 x 19 x 47 x 2 = 1004932192
Therefore, the lowest common multiple of 278,506,874,752,736 is 1004932192.
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.
278 x 506 x 874 x 752 x 736 = 68045968584704
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.
278 : 1, 2, 139, 278
506 : 1, 2, 11, 22, 23, 46, 253, 506
874 : 1, 2, 19, 23, 38, 46, 437, 874
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,506,874,752,736, is 2.
Now, the common factors can be found like this.
278:2x 139
506:2x 11x 23
874:2x 19x 23
752:2x 2x 2x 2x 47
736:2x 2x 2x 2x 2x 23
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 2x 23x 23 = 33856
Therefore, the value for common factors is 33856.
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 = 68045968584704/(2x33856)
LCM = 68045968584704/67712
LCM = 1004932192
Thus, we can understand that the LCM of 278,506,874,752,736 is 1004932192.
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FAQs on LCM of 278, 506, 874, 752, 736
1. What is the LCM of 278, 506, 874, 752, 736?
Answer: LCM of 278, 506, 874, 752, 736 is 1004932192.
2. How to calculate the LCM of 278, 506, 874, 752, 736?
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 278, 506, 874, 752, 736.
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}.