LCM of 781, 865, 749, 714, 295
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 865, 749, 714, 295 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 781, 865, 749, 714, 295. So, keep reading to learn more.
Given numbers are 781,865,749,714,295
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,865,749,714,295 is 3045097077330.
Find LCM of 781,865,749,714,295 with Prime Factorization
| 5 | 781, 865, 749, 714, 295 |
| 7 | 781, 173, 749, 714, 59 |
| 781, 173, 107, 102, 59 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 781 x 173 x 107 x 102 x 59 = 3045097077330
Therefore, the lowest common multiple of 781,865,749,714,295 is 3045097077330.
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.
781 x 865 x 749 x 714 x 295 = 106578397706550
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.
781 : 1, 11, 71, 781
865 : 1, 5, 173, 865
749 : 1, 7, 107, 749
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
295 : 1, 5, 59, 295
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,865,749,714,295, is 1.
Now, the common factors can be found like this.
781:11x 71
865:5x 173
749:7x 107
714:2x 3x 7x 17
295:5x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7 = 35
Therefore, the value for common factors is 35.
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 = 106578397706550/(1x35)
LCM = 106578397706550/35
LCM = 3045097077330
Thus, we can understand that the LCM of 781,865,749,714,295 is 3045097077330.
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FAQs on LCM of 781, 865, 749, 714, 295
1. What is the LCM of 781, 865, 749, 714, 295?
Answer: LCM of 781, 865, 749, 714, 295 is 3045097077330.
2. How to calculate the LCM of 781, 865, 749, 714, 295?
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 781, 865, 749, 714, 295.
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}.