LCM of 448, 652, 978, 260, 956
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 448, 652, 978, 260, 956 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 448, 652, 978, 260, 956. So, keep reading to learn more.
Given numbers are 448,652,978,260,956
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 448,652,978,260,956 is 3403283520.
Find LCM of 448,652,978,260,956 with Prime Factorization
| 2 | 448, 652, 978, 260, 956 |
| 2 | 224, 326, 489, 130, 478 |
| 163 | 112, 163, 489, 65, 239 |
| 112, 1, 3, 65, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 163 x 112 x 1 x 3 x 65 x 239 = 3403283520
Therefore, the lowest common multiple of 448,652,978,260,956 is 3403283520.
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.
448 x 652 x 978 x 260 x 956 = 71006107361280
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.
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
652 : 1, 2, 4, 163, 326, 652
978 : 1, 2, 3, 6, 163, 326, 489, 978
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
956 : 1, 2, 4, 239, 478, 956
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,652,978,260,956, is 2.
Now, the common factors can be found like this.
448:2x 2x 2x 2x 2x 2x 7
652:2x 2x 163
978:2x 3x 163
260:2x 2x 5x 13
956:2x 2x 239
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 2x 163 = 10432
Therefore, the value for common factors is 10432.
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 = 71006107361280/(2x10432)
LCM = 71006107361280/20864
LCM = 3403283520
Thus, we can understand that the LCM of 448,652,978,260,956 is 3403283520.
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FAQs on LCM of 448, 652, 978, 260, 956
1. What is the LCM of 448, 652, 978, 260, 956?
Answer: LCM of 448, 652, 978, 260, 956 is 3403283520.
2. How to calculate the LCM of 448, 652, 978, 260, 956?
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 448, 652, 978, 260, 956.
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}.