LCM of 649, 980, 172, 341, 472
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 980, 172, 341, 472 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 649, 980, 172, 341, 472. So, keep reading to learn more.
Given numbers are 649,980,172,341,472
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,980,172,341,472 is 1695629320.
Find LCM of 649,980,172,341,472 with Prime Factorization
| 2 | 649, 980, 172, 341, 472 |
| 2 | 649, 490, 86, 341, 236 |
| 11 | 649, 245, 43, 341, 118 |
| 59 | 59, 245, 43, 31, 118 |
| 1, 245, 43, 31, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 59 x 1 x 245 x 43 x 31 x 2 = 1695629320
Therefore, the lowest common multiple of 649,980,172,341,472 is 1695629320.
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.
649 x 980 x 172 x 341 x 472 = 17607414858880
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.
649 : 1, 11, 59, 649
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
172 : 1, 2, 4, 43, 86, 172
341 : 1, 11, 31, 341
472 : 1, 2, 4, 8, 59, 118, 236, 472
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,980,172,341,472, is 1.
Now, the common factors can be found like this.
649:11x 59
980:2x 2x 5x 7x 7
172:2x 2x 43
341:11x 31
472:2x 2x 2x 59
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 11x 59 = 10384
Therefore, the value for common factors is 10384.
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 = 17607414858880/(1x10384)
LCM = 17607414858880/10384
LCM = 1695629320
Thus, we can understand that the LCM of 649,980,172,341,472 is 1695629320.
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FAQs on LCM of 649, 980, 172, 341, 472
1. What is the LCM of 649, 980, 172, 341, 472?
Answer: LCM of 649, 980, 172, 341, 472 is 1695629320.
2. How to calculate the LCM of 649, 980, 172, 341, 472?
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 649, 980, 172, 341, 472.
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}.