LCM of 278, 988, 924, 294, 356
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 278, 988, 924, 294, 356 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, 988, 924, 294, 356. So, keep reading to learn more.
Given numbers are 278,988,924,294,356
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 278,988,924,294,356 is 19763860116.
Find LCM of 278,988,924,294,356 with Prime Factorization
| 2 | 278, 988, 924, 294, 356 |
| 2 | 139, 494, 462, 147, 178 |
| 3 | 139, 247, 231, 147, 89 |
| 7 | 139, 247, 77, 49, 89 |
| 139, 247, 11, 7, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 139 x 247 x 11 x 7 x 89 = 19763860116
Therefore, the lowest common multiple of 278,988,924,294,356 is 19763860116.
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 988 x 924 x 294 x 356 = 26562627995904
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
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
356 : 1, 2, 4, 89, 178, 356
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,988,924,294,356, is 2.
Now, the common factors can be found like this.
278:2x 139
988:2x 2x 13x 19
924:2x 2x 3x 7x 11
294:2x 3x 7x 7
356:2x 2x 89
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 3x 7 = 672
Therefore, the value for common factors is 672.
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 = 26562627995904/(2x672)
LCM = 26562627995904/1344
LCM = 19763860116
Thus, we can understand that the LCM of 278,988,924,294,356 is 19763860116.
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FAQs on LCM of 278, 988, 924, 294, 356
1. What is the LCM of 278, 988, 924, 294, 356?
Answer: LCM of 278, 988, 924, 294, 356 is 19763860116.
2. How to calculate the LCM of 278, 988, 924, 294, 356?
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, 988, 924, 294, 356.
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}.