LCM of 448, 546, 302, 978, 294
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 448, 546, 302, 978, 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 448, 546, 302, 978, 294. So, keep reading to learn more.
Given numbers are 448,546,302,978,294
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 448,546,302,978,294 is 3010268352.
Find LCM of 448,546,302,978,294 with Prime Factorization
| 2 | 448, 546, 302, 978, 294 |
| 3 | 224, 273, 151, 489, 147 |
| 7 | 224, 91, 151, 163, 49 |
| 32, 13, 151, 163, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 32 x 13 x 151 x 163 x 7 = 3010268352
Therefore, the lowest common multiple of 448,546,302,978,294 is 3010268352.
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 546 x 302 x 978 x 294 = 21240453491712
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
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
302 : 1, 2, 151, 302
978 : 1, 2, 3, 6, 163, 326, 489, 978
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,546,302,978,294, is 2.
Now, the common factors can be found like this.
448:2x 2x 2x 2x 2x 2x 7
546:2x 3x 7x 13
302:2x 151
978:2x 3x 163
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 2x 3x 3x 7x 7 = 3528
Therefore, the value for common factors is 3528.
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 = 21240453491712/(2x3528)
LCM = 21240453491712/7056
LCM = 3010268352
Thus, we can understand that the LCM of 448,546,302,978,294 is 3010268352.
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FAQs on LCM of 448, 546, 302, 978, 294
1. What is the LCM of 448, 546, 302, 978, 294?
Answer: LCM of 448, 546, 302, 978, 294 is 3010268352.
2. How to calculate the LCM of 448, 546, 302, 978, 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 448, 546, 302, 978, 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}.