Least Common Multiple of 486, 153, 608, 993, 741

Q: How to Find the LCM of 486, 153, 608, 993, 741 ?

Least Common Multiple of 486, 153, 608, 993, 741 = 10807621344 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(486, 153, 608, 993, 741) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 13 x 17 x 19 x 331 = 10807621344.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 486, 153, 608, 993, 741 i.e. 10807621344 smallest integer divisible by all numbers.

Least common multiple (LCM) of 486, 153, 608, 993, 741 is 10807621344.

LCM(486, 153, 608, 993, 741) = 10807621344

LCM of 486, 153, 608, 993, 741

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

Least Common Multiple of 486, 153, 608, 993, 741 by common division method
Least Common Multiple of 486, 153, 608, 993, 741 with GCF Formula

Least Common Multiple of 486,153,608,993,741

Least Common Multiple (LCM) of 486,153,608,993,741 is 10807621344

2	486, 153, 608, 993, 741
3	243, 153, 304, 993, 741
3	81, 51, 304, 331, 247
19	27, 17, 304, 331, 247
	27, 17, 16, 331, 13

∴ So the LCM of the given numbers is 2 x 3 x 3 x 19 x 27 x 17 x 16 x 331 x 13 = 10807621344

Least Common Multiple of 486,153,608,993,741 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 486,153,608,993,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,153,608,993,741) = 1

common factors(in case of two or more numbers have common factors) = 3078

GCF(486,153,608,993,741) x common factors =1 x 3078 = 3078

LCM(486,153,608,993,741) = ( 486 × 153 × 608 × 993 × 741 ) / 3078

LCM(486,153,608,993,741) = 33265858496832 / 3078

LCM(486,153,608,993,741) = 10807621344

∴ Least Common Multiple of 486,153,608,993,741 is 10807621344

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 486, 153, 608, 993, 741

1. What is the LCM of 486, 153, 608, 993, 741?

Answer: LCM of 486, 153, 608, 993, 741 is 10807621344.

2. What are the Factors of 10807621344?

Answer: Factors of 10807621344 are . There are integers that are factors of 10807621344

3. How to Find the LCM of 486, 153, 608, 993, 741 ?

Least Common Multiple of 486, 153, 608, 993, 741.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(486, 153, 608, 993, 741) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 13 x 17 x 19 x 331 = 10807621344.