LCM of 542, 714, 750, 820, 475
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 542, 714, 750, 820, 475 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 542, 714, 750, 820, 475. So, keep reading to learn more.
Given numbers are 542,714,750,820,475
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 542,714,750,820,475 is 37682956500.
Find LCM of 542,714,750,820,475 with Prime Factorization
| 2 | 542, 714, 750, 820, 475 |
| 3 | 271, 357, 375, 410, 475 |
| 5 | 271, 119, 125, 410, 475 |
| 5 | 271, 119, 25, 82, 95 |
| 271, 119, 5, 82, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 271 x 119 x 5 x 82 x 19 = 37682956500
Therefore, the lowest common multiple of 542,714,750,820,475 is 37682956500.
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.
542 x 714 x 750 x 820 x 475 = 113048869500000
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.
542 : 1, 2, 271, 542
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
475 : 1, 5, 19, 25, 95, 475
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,714,750,820,475, is 1.
Now, the common factors can be found like this.
542:2x 271
714:2x 3x 7x 17
750:2x 3x 5x 5x 5
820:2x 2x 5x 41
475:5x 5x 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 5x 5x 5 = 3000
Therefore, the value for common factors is 3000.
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 = 113048869500000/(1x3000)
LCM = 113048869500000/3000
LCM = 37682956500
Thus, we can understand that the LCM of 542,714,750,820,475 is 37682956500.
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FAQs on LCM of 542, 714, 750, 820, 475
1. What is the LCM of 542, 714, 750, 820, 475?
Answer: LCM of 542, 714, 750, 820, 475 is 37682956500.
2. How to calculate the LCM of 542, 714, 750, 820, 475?
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 542, 714, 750, 820, 475.
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}.