LCM of 153, 378, 426, 756, 978
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 153, 378, 426, 756, 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 153, 378, 426, 756, 978. So, keep reading to learn more.
Given numbers are 153,378,426,756,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 153,378,426,756,978 is 148736196.
Find LCM of 153,378,426,756,978 with Prime Factorization
| 2 | 153, 378, 426, 756, 978 |
| 3 | 153, 189, 213, 378, 489 |
| 3 | 51, 63, 71, 126, 163 |
| 3 | 17, 21, 71, 42, 163 |
| 7 | 17, 7, 71, 14, 163 |
| 17, 1, 71, 2, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 17 x 1 x 71 x 2 x 163 = 148736196
Therefore, the lowest common multiple of 153,378,426,756,978 is 148736196.
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.
153 x 378 x 426 x 756 x 978 = 18216019396512
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.
153 : 1, 3, 9, 17, 51, 153
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
426 : 1, 2, 3, 6, 71, 142, 213, 426
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
978 : 1, 2, 3, 6, 163, 326, 489, 978
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,378,426,756,978, is 3.
Now, the common factors can be found like this.
153:3x 3x 17
378:2x 3x 3x 3x 7
426:2x 3x 71
756:2x 2x 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 3x 3x 3x 7 = 40824
Therefore, the value for common factors is 40824.
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 = 18216019396512/(3x40824)
LCM = 18216019396512/122472
LCM = 148736196
Thus, we can understand that the LCM of 153,378,426,756,978 is 148736196.
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FAQs on LCM of 153, 378, 426, 756, 978
1. What is the LCM of 153, 378, 426, 756, 978?
Answer: LCM of 153, 378, 426, 756, 978 is 148736196.
2. How to calculate the LCM of 153, 378, 426, 756, 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 153, 378, 426, 756, 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}.