LCM of 498, 528, 238, 567, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 498, 528, 238, 567, 978 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 498, 528, 238, 567, 978. So, keep reading to learn more.
Given numbers are 498,528,238,567,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 498,528,238,567,978 is 22951461456.
Find LCM of 498,528,238,567,978 with Prime Factorization
| 2 | 498, 528, 238, 567, 978 |
| 3 | 249, 264, 119, 567, 489 |
| 7 | 83, 88, 119, 189, 163 |
| 83, 88, 17, 27, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 83 x 88 x 17 x 27 x 163 = 22951461456
Therefore, the lowest common multiple of 498,528,238,567,978 is 22951461456.
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.
498 x 528 x 238 x 567 x 978 = 34702609721472
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.
498 : 1, 2, 3, 6, 83, 166, 249, 498
528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
238 : 1, 2, 7, 14, 17, 34, 119, 238
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,528,238,567,978, is 1.
Now, the common factors can be found like this.
498:2x 3x 83
528:2x 2x 2x 2x 3x 11
238:2x 7x 17
567:3x 3x 3x 3x 7
978:2x 3x 163
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 3x 7 = 1512
Therefore, the value for common factors is 1512.
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 = 34702609721472/(1x1512)
LCM = 34702609721472/1512
LCM = 22951461456
Thus, we can understand that the LCM of 498,528,238,567,978 is 22951461456.
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FAQs on LCM of 498, 528, 238, 567, 978
1. What is the LCM of 498, 528, 238, 567, 978?
Answer: LCM of 498, 528, 238, 567, 978 is 22951461456.
2. How to calculate the LCM of 498, 528, 238, 567, 978?
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 498, 528, 238, 567, 978.
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}.