LCM of 278, 680, 695, 250, 930
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 278, 680, 695, 250, 930 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, 680, 695, 250, 930. So, keep reading to learn more.
Given numbers are 278,680,695,250,930
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,680,695,250,930 is 219759000.
Find LCM of 278,680,695,250,930 with Prime Factorization
| 2 | 278, 680, 695, 250, 930 |
| 5 | 139, 340, 695, 125, 465 |
| 139 | 139, 68, 139, 25, 93 |
| 1, 68, 1, 25, 93 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 139 x 1 x 68 x 1 x 25 x 93 = 219759000
Therefore, the lowest common multiple of 278,680,695,250,930 is 219759000.
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 680 x 695 x 250 x 930 = 30546501000000
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
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
695 : 1, 5, 139, 695
250 : 1, 2, 5, 10, 25, 50, 125, 250
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,680,695,250,930, is 1.
Now, the common factors can be found like this.
278:2x 139
680:2x 2x 2x 5x 17
695:5x 139
250:2x 5x 5x 5
930:2x 3x 5x 31
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 5x 5x 5x 139 = 139000
Therefore, the value for common factors is 139000.
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 = 30546501000000/(1x139000)
LCM = 30546501000000/139000
LCM = 219759000
Thus, we can understand that the LCM of 278,680,695,250,930 is 219759000.
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FAQs on LCM of 278, 680, 695, 250, 930
1. What is the LCM of 278, 680, 695, 250, 930?
Answer: LCM of 278, 680, 695, 250, 930 is 219759000.
2. How to calculate the LCM of 278, 680, 695, 250, 930?
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, 680, 695, 250, 930.
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}.