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LCM of 746, 490, 231, 978, 303

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 746, 490, 231, 978, 303 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, 490, 231, 978, 303. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 746,490,231,978,303

Given numbers are 746,490,231,978,303

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 746,490,231,978,303 is 99295102830.

Find LCM of 746,490,231,978,303 with Prime Factorization


2 746, 490, 231, 978, 303
3 373, 245, 231, 489, 303
7 373, 245, 77, 163, 101
373, 35, 11, 163, 101

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 7 x 373 x 35 x 11 x 163 x 101 = 99295102830

Therefore, the lowest common multiple of 746,490,231,978,303 is 99295102830.

LCM Formula to Find Lowest Common Multiple of 746,490,231,978,303

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 490 x 231 x 978 x 303 = 25022365913160

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

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

231 : 1, 3, 7, 11, 21, 33, 77, 231

978 : 1, 2, 3, 6, 163, 326, 489, 978

303 : 1, 3, 101, 303

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,490,231,978,303, is 1.

Now, the common factors can be found like this.

746:2x 373

490:2x 5x 7x 7

231:3x 7x 11

978:2x 3x 163

303:3x 101

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 3x 3x 7 = 252

Therefore, the value for common factors is 252.

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 = 25022365913160/(1x252)

LCM = 25022365913160/252

LCM = 99295102830

Thus, we can understand that the LCM of 746,490,231,978,303 is 99295102830.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 746, 490, 231, 978, 303

1. What is the LCM of 746, 490, 231, 978, 303?

Answer: LCM of 746, 490, 231, 978, 303 is 99295102830.

2. How to calculate the LCM of 746, 490, 231, 978, 303?

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, 490, 231, 978, 303.

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}.