LCM of 490, 147, 772, 931, 294
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 490, 147, 772, 931, 294 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 490, 147, 772, 931, 294. So, keep reading to learn more.
Given numbers are 490,147,772,931,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 490,147,772,931,294 is 10780980.
Find LCM of 490,147,772,931,294 with Prime Factorization
| 2 | 490, 147, 772, 931, 294 |
| 3 | 245, 147, 386, 931, 147 |
| 7 | 245, 49, 386, 931, 49 |
| 7 | 35, 7, 386, 133, 7 |
| 5, 1, 386, 19, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 7 x 5 x 1 x 386 x 19 x 1 = 10780980
Therefore, the lowest common multiple of 490,147,772,931,294 is 10780980.
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.
490 x 147 x 772 x 931 x 294 = 15220458192240
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.
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
147 : 1, 3, 7, 21, 49, 147
772 : 1, 2, 4, 193, 386, 772
931 : 1, 7, 19, 49, 133, 931
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,147,772,931,294, is 1.
Now, the common factors can be found like this.
490:2x 5x 7x 7
147:3x 7x 7
772:2x 2x 193
931:7x 7x 19
294:2x 3x 7x 7
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 3x 7x 7x 7x 7x 7x 7 = 1411788
Therefore, the value for common factors is 1411788.
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 = 15220458192240/(1x1411788)
LCM = 15220458192240/1411788
LCM = 10780980
Thus, we can understand that the LCM of 490,147,772,931,294 is 10780980.
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FAQs on LCM of 490, 147, 772, 931, 294
1. What is the LCM of 490, 147, 772, 931, 294?
Answer: LCM of 490, 147, 772, 931, 294 is 10780980.
2. How to calculate the LCM of 490, 147, 772, 931, 294?
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 490, 147, 772, 931, 294.
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}.