LCM of 278, 874, 770, 368, 763
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 278, 874, 770, 368, 763 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, 874, 770, 368, 763. So, keep reading to learn more.
Given numbers are 278,874,770,368,763
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,874,770,368,763 is 40785279920.
Find LCM of 278,874,770,368,763 with Prime Factorization
| 2 | 278, 874, 770, 368, 763 |
| 7 | 139, 437, 385, 184, 763 |
| 23 | 139, 437, 55, 184, 109 |
| 139, 19, 55, 8, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 23 x 139 x 19 x 55 x 8 x 109 = 40785279920
Therefore, the lowest common multiple of 278,874,770,368,763 is 40785279920.
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 874 x 770 x 368 x 763 = 52531440536960
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
874 : 1, 2, 19, 23, 38, 46, 437, 874
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
763 : 1, 7, 109, 763
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,874,770,368,763, is 1.
Now, the common factors can be found like this.
278:2x 139
874:2x 19x 23
770:2x 5x 7x 11
368:2x 2x 2x 2x 23
763:7x 109
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 7x 23 = 1288
Therefore, the value for common factors is 1288.
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 = 52531440536960/(1x1288)
LCM = 52531440536960/1288
LCM = 40785279920
Thus, we can understand that the LCM of 278,874,770,368,763 is 40785279920.
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FAQs on LCM of 278, 874, 770, 368, 763
1. What is the LCM of 278, 874, 770, 368, 763?
Answer: LCM of 278, 874, 770, 368, 763 is 40785279920.
2. How to calculate the LCM of 278, 874, 770, 368, 763?
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, 874, 770, 368, 763.
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}.