LCM of 746, 734, 377, 624, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 746, 734, 377, 624, 342 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 746, 734, 377, 624, 342. So, keep reading to learn more.
Given numbers are 746,734,377,624,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 746,734,377,624,342 is 141199233552.
Find LCM of 746,734,377,624,342 with Prime Factorization
| 2 | 746, 734, 377, 624, 342 |
| 3 | 373, 367, 377, 312, 171 |
| 13 | 373, 367, 377, 104, 57 |
| 373, 367, 29, 8, 57 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 373 x 367 x 29 x 8 x 57 = 141199233552
Therefore, the lowest common multiple of 746,734,377,624,342 is 141199233552.
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.
746 x 734 x 377 x 624 x 342 = 44054160868224
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.
746 : 1, 2, 373, 746
734 : 1, 2, 367, 734
377 : 1, 13, 29, 377
624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,734,377,624,342, is 1.
Now, the common factors can be found like this.
746:2x 373
734:2x 367
377:13x 29
624:2x 2x 2x 2x 3x 13
342:2x 3x 3x 19
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 13 = 312
Therefore, the value for common factors is 312.
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 = 44054160868224/(1x312)
LCM = 44054160868224/312
LCM = 141199233552
Thus, we can understand that the LCM of 746,734,377,624,342 is 141199233552.
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FAQs on LCM of 746, 734, 377, 624, 342
1. What is the LCM of 746, 734, 377, 624, 342?
Answer: LCM of 746, 734, 377, 624, 342 is 141199233552.
2. How to calculate the LCM of 746, 734, 377, 624, 342?
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 746, 734, 377, 624, 342.
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}.