Least Common Multiple of 60, 38, 98, 114

Q: How to Find the LCM of 60, 38, 98, 114 ?

Least Common Multiple of 60, 38, 98, 114 = 55860 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(60, 38, 98, 114) = 2 x 2 x 3 x 5 x 7 x 7 x 19 = 55860.

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 60, 38, 98, 114 i.e. 55860 smallest integer divisible by all numbers.

Least common multiple (LCM) of 60, 38, 98, 114 is 55860.

LCM(60, 38, 98, 114) = 55860

LCM of 60, 38, 98, 114

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

Least Common Multiple of 60, 38, 98, 114 by common division method
Least Common Multiple of 60, 38, 98, 114 with GCF Formula

Least Common Multiple of 60,38,98,114

Least Common Multiple (LCM) of 60,38,98,114 is 55860

2	60, 38, 98, 114
3	30, 19, 49, 57
19	10, 19, 49, 19
	10, 1, 49, 1

∴ So the LCM of the given numbers is 2 x 3 x 19 x 10 x 1 x 49 x 1 = 55860

Least Common Multiple of 60,38,98,114 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 60,38,98,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,38,98,114) = 2

common factors(in case of two or more numbers have common factors) = 228

GCF(60,38,98,114) x common factors =2 x 228 = 456

LCM(60,38,98,114) = ( 60 × 38 × 98 × 114 ) / 456

LCM(60,38,98,114) = 25472160 / 456

LCM(60,38,98,114) = 55860

∴ Least Common Multiple of 60,38,98,114 is 55860

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 60, 38, 98, 114

1. What is the LCM of 60, 38, 98, 114?

Answer: LCM of 60, 38, 98, 114 is 55860.

2. What are the Factors of 55860?

Answer: Factors of 55860 are . There are integers that are factors of 55860

3. How to Find the LCM of 60, 38, 98, 114 ?

Least Common Multiple of 60, 38, 98, 114.

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(60, 38, 98, 114) = 2 x 2 x 3 x 5 x 7 x 7 x 19 = 55860.