LCM of 978, 374, 719, 758
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 978, 374, 719, 758 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 978, 374, 719, 758. So, keep reading to learn more.
Given numbers are 978,374,719,758
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 978,374,719,758 is 49836617886.
Find LCM of 978,374,719,758 with Prime Factorization
| 2 | 978, 374, 719, 758 |
| 489, 187, 719, 379 |
Multiply the prime numbers at the bottom and the left side.
2 x 489 x 187 x 719 x 379 = 49836617886
Therefore, the lowest common multiple of 978,374,719,758 is 49836617886.
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.
978 x 374 x 719 x 758 = 199346471544
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.
978 : 1, 2, 3, 6, 163, 326, 489, 978
374 : 1, 2, 11, 17, 22, 34, 187, 374
719 : 1, 719
758 : 1, 2, 379, 758
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,374,719,758, is 1.
Now, the common factors can be found like this.
978:2x 3x 163
374:2x 11x 17
719:719
758:2x 379
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 199346471544/(1x4)
LCM = 199346471544/4
LCM = 49836617886
Thus, we can understand that the LCM of 978,374,719,758 is 49836617886.
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FAQs on LCM of 978, 374, 719, 758
1. What is the LCM of 978, 374, 719, 758?
Answer: LCM of 978, 374, 719, 758 is 49836617886.
2. How to calculate the LCM of 978, 374, 719, 758?
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 978, 374, 719, 758.
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}.