LCM of 735, 705, 716, 834, 752
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 735, 705, 716, 834, 752 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 735, 705, 716, 834, 752. So, keep reading to learn more.
Given numbers are 735,705,716,834,752
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 735,705,716,834,752 is 13752226320.
Find LCM of 735,705,716,834,752 with Prime Factorization
| 2 | 735, 705, 716, 834, 752 |
| 2 | 735, 705, 358, 417, 376 |
| 3 | 735, 705, 179, 417, 188 |
| 5 | 245, 235, 179, 139, 188 |
| 47 | 49, 47, 179, 139, 188 |
| 49, 1, 179, 139, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 47 x 49 x 1 x 179 x 139 x 4 = 13752226320
Therefore, the lowest common multiple of 735,705,716,834,752 is 13752226320.
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.
735 x 705 x 716 x 834 x 752 = 232687669334400
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.
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
705 : 1, 3, 5, 15, 47, 141, 235, 705
716 : 1, 2, 4, 179, 358, 716
834 : 1, 2, 3, 6, 139, 278, 417, 834
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,705,716,834,752, is 1.
Now, the common factors can be found like this.
735:3x 5x 7x 7
705:3x 5x 47
716:2x 2x 179
834:2x 3x 139
752:2x 2x 2x 2x 47
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 5x 47 = 16920
Therefore, the value for common factors is 16920.
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 = 232687669334400/(1x16920)
LCM = 232687669334400/16920
LCM = 13752226320
Thus, we can understand that the LCM of 735,705,716,834,752 is 13752226320.
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FAQs on LCM of 735, 705, 716, 834, 752
1. What is the LCM of 735, 705, 716, 834, 752?
Answer: LCM of 735, 705, 716, 834, 752 is 13752226320.
2. How to calculate the LCM of 735, 705, 716, 834, 752?
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 735, 705, 716, 834, 752.
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}.