LCM of 736, 768, 978, 461, 657
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 736, 768, 978, 461, 657 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 736, 768, 978, 461, 657. So, keep reading to learn more.
Given numbers are 736,768,978,461,657
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,768,978,461,657 is 290684383488.
Find LCM of 736,768,978,461,657 with Prime Factorization
| 2 | 736, 768, 978, 461, 657 |
| 2 | 368, 384, 489, 461, 657 |
| 2 | 184, 192, 489, 461, 657 |
| 2 | 92, 96, 489, 461, 657 |
| 2 | 46, 48, 489, 461, 657 |
| 3 | 23, 24, 489, 461, 657 |
| 23, 8, 163, 461, 219 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 23 x 8 x 163 x 461 x 219 = 290684383488
Therefore, the lowest common multiple of 736,768,978,461,657 is 290684383488.
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.
736 x 768 x 978 x 461 x 657 = 167434204889088
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.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
978 : 1, 2, 3, 6, 163, 326, 489, 978
461 : 1, 461
657 : 1, 3, 9, 73, 219, 657
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,768,978,461,657, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
768:2x 2x 2x 2x 2x 2x 2x 2x 3
978:2x 3x 163
461:461
657:3x 3x 73
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 2x 2x 2x 3x 3 = 576
Therefore, the value for common factors is 576.
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 = 167434204889088/(1x576)
LCM = 167434204889088/576
LCM = 290684383488
Thus, we can understand that the LCM of 736,768,978,461,657 is 290684383488.
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FAQs on LCM of 736, 768, 978, 461, 657
1. What is the LCM of 736, 768, 978, 461, 657?
Answer: LCM of 736, 768, 978, 461, 657 is 290684383488.
2. How to calculate the LCM of 736, 768, 978, 461, 657?
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 736, 768, 978, 461, 657.
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}.