Least Common Multiple of 149/17, 140/5627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 149/17, 140/5627 quickly i.e. 20860/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 149/17, 140/5627 is 20860/17.

LCM(149/17, 140/5627) = 20860/17

LCM of 149/17, 140/5627

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 149/17,140/5627

Given numbers are 149/17,140/5627

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 149,140

Least Common Multiple of Numerators i.e. LCM of 149,140 is 20860.

GCF of Denominators means GCF of 17,5627 as per the given fractions.

GCF of 17,5627 is 17 as it is the largest common factor for these numbers.

Lets's calculate LCM of 149,140

LCM of Fractions 149/17,140/5627 is 20860/17

Given numbers has no common factors except 1. So, there LCM is their product i.e 20860

Least Common Multiple of 149,140 with GCF Formula

Least Common Multiple of 149,140 with GCF Formula

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

We need to calculate greatest common factor of 149,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,140) = 1

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

GCF(149,140) x common factors =1 x 1 = 1

LCM(149,140) = ( 149 × 140 ) / 1

LCM(149,140) = 20860 / 1

LCM(149,140) = 20860


Lets's calculate GCF of 17,5627

17 17, 5627
1, 331

∴ So the GCF of the given numbers is 17 = 17

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20860/17

Therefore the LCM of Fractions 149/17,140/5627 is 20860/17

Greatest Common Factor of 17,5627 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,5627 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 5627

List of positive integer factors of 5627 that divides 5627 without a remainder.

1,17,331,5627

Greatest Common Factor

We found the factors 17,5627 . The biggest common factor number is the GCF number.
So the greatest common factor 17,5627 is 17.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 149/17, 140/5627

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 149/17, 140/5627?

Answer: LCM of Numerators as per given numbers 149/17, 140/5627 is

LCM of Numerators i.e. for 149,140 is 20860

GCF of denominators i.e. for 17,5627 is 17.

Thus, LCM of Fractions is 20860/17.Finally, LCM of Fractions for 149/17, 140/5627 is 20860/17.