LCM of 778, 140, 706, 637, 742
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 778, 140, 706, 637, 742 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 778, 140, 706, 637, 742. So, keep reading to learn more.
Given numbers are 778,140,706,637,742
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 778,140,706,637,742 is 92719184740.
Find LCM of 778,140,706,637,742 with Prime Factorization
| 2 | 778, 140, 706, 637, 742 |
| 7 | 389, 70, 353, 637, 371 |
| 389, 10, 353, 91, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 389 x 10 x 353 x 91 x 53 = 92719184740
Therefore, the lowest common multiple of 778,140,706,637,742 is 92719184740.
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.
778 x 140 x 706 x 637 x 742 = 36345920418080
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.
778 : 1, 2, 389, 778
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
706 : 1, 2, 353, 706
637 : 1, 7, 13, 49, 91, 637
742 : 1, 2, 7, 14, 53, 106, 371, 742
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,140,706,637,742, is 1.
Now, the common factors can be found like this.
778:2x 389
140:2x 2x 5x 7
706:2x 353
637:7x 7x 13
742:2x 7x 53
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 7x 7 = 392
Therefore, the value for common factors is 392.
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 = 36345920418080/(1x392)
LCM = 36345920418080/392
LCM = 92719184740
Thus, we can understand that the LCM of 778,140,706,637,742 is 92719184740.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 778, 140, 706, 637, 742
1. What is the LCM of 778, 140, 706, 637, 742?
Answer: LCM of 778, 140, 706, 637, 742 is 92719184740.
2. How to calculate the LCM of 778, 140, 706, 637, 742?
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 778, 140, 706, 637, 742.
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}.