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LCM of 846, 485, 919, 978

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


Find the LCM of 846, 485, 919, 978 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 846, 485, 919, 978. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 846,485,919,978

Given numbers are 846,485,919,978

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

The LCM of 846,485,919,978 is 61463207070.

Find LCM of 846,485,919,978 with Prime Factorization


2 846, 485, 919, 978
3 423, 485, 919, 489
141, 485, 919, 163

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

2 x 3 x 141 x 485 x 919 x 163 = 61463207070

Therefore, the lowest common multiple of 846,485,919,978 is 61463207070.

LCM Formula to Find Lowest Common Multiple of 846,485,919,978

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.

846 x 485 x 919 x 978 = 368779242420

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.

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

485 : 1, 5, 97, 485

919 : 1, 919

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 846,485,919,978, is 1.

Now, the common factors can be found like this.

846:2x 3x 3x 47

485:5x 97

919:919

978:2x 3x 163

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 368779242420/(1x6)

LCM = 368779242420/6

LCM = 61463207070

Thus, we can understand that the LCM of 846,485,919,978 is 61463207070.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 846, 485, 919, 978

1. What is the LCM of 846, 485, 919, 978?

Answer: LCM of 846, 485, 919, 978 is 61463207070.

2. How to calculate the LCM of 846, 485, 919, 978?

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 846, 485, 919, 978.

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}.