Least Common Multiple of 1968, 7440

Q: How to Find the LCM of 1968, 7440 ?

Least Common Multiple of 1968, 7440 = 305040 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(1968, 7440) = 2 x 2 x 2 x 2 x 3 x 5 x 31 x 41 = 305040.

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 1968, 7440 i.e. 305040 smallest integer divisible by all numbers.

Least common multiple (LCM) of 1968, 7440 is 305040.

LCM(1968, 7440) = 305040

LCM of 1968, 7440

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

Least Common Multiple of 1968, 7440 by common division method
Least Common Multiple of 1968, 7440 with GCF Formula

Least Common Multiple of 1968,7440

Least Common Multiple (LCM) of 1968,7440 is 305040

2	1968, 7440
2	984, 3720
2	492, 1860
2	246, 930
3	123, 465
	41, 155

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 41 x 155 = 305040

Least Common Multiple of 1968,7440 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 1968,7440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1968,7440) = 48

common factors(in case of two or more numbers have common factors) = 1

GCF(1968,7440) x common factors =48 x 1 = 48

LCM(1968,7440) = ( 1968 × 7440 ) / 48

LCM(1968,7440) = 14641920 / 48

LCM(1968,7440) = 305040

∴ Least Common Multiple of 1968,7440 is 305040

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 1968, 7440

1. What is the LCM of 1968, 7440?

Answer: LCM of 1968, 7440 is 305040.

2. What are the Factors of 305040?

Answer: Factors of 305040 are . There are integers that are factors of 305040

3. How to Find the LCM of 1968, 7440 ?

Least Common Multiple of 1968, 7440.

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(1968, 7440) = 2 x 2 x 2 x 2 x 3 x 5 x 31 x 41 = 305040.