Least Common Multiple of 646/211, 140/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 646/211, 140/267 quickly i.e. 45220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 646/211, 140/267 is 45220.

LCM(646/211, 140/267) = 45220

LCM of 646/211, 140/267

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 646/211,140/267

Given numbers are 646/211,140/267

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 646,140

Least Common Multiple of Numerators i.e. LCM of 646,140 is 45220.

GCF of Denominators means GCF of 211,267 as per the given fractions.

GCF of 211,267 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 646,140

LCM of Fractions 646/211,140/267 is 45220

2 646, 140
323, 70

∴ So the LCM of the given numbers is 2 x 323 x 70 = 45220

Least Common Multiple of 646,140 with GCF Formula

Least Common Multiple of 646,140 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 646,140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(646,140) = 2

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

GCF(646,140) x common factors =2 x 1 = 2

LCM(646,140) = ( 646 × 140 ) / 2

LCM(646,140) = 90440 / 2

LCM(646,140) = 45220


Lets's calculate GCF of 211,267

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45220/1

Therefore the LCM of Fractions 646/211,140/267 is 45220

Greatest Common Factor of 211,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 211,267 By Matching Biggest Common Factor Method

Factors of 211

List of positive integer factors of 211 that divides 211 without a remainder.

1,211

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Greatest Common Factor

We found the factors 211,267 . The biggest common factor number is the GCF number.
So the greatest common factor 211,267 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 646/211, 140/267

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 646/211, 140/267?

Answer: LCM of Numerators as per given numbers 646/211, 140/267 is

LCM of Numerators i.e. for 646,140 is 45220

GCF of denominators i.e. for 211,267 is 1.

Thus, LCM of Fractions is 45220.Finally, LCM of Fractions for 646/211, 140/267 is 45220.