Least Common Multiple of 266/61, 217/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 266/61, 217/428 quickly i.e. 8246 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 266/61, 217/428 is 8246.

LCM(266/61, 217/428) = 8246

LCM of 266/61, 217/428

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 266/61,217/428

Given numbers are 266/61,217/428

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 266,217

Least Common Multiple of Numerators i.e. LCM of 266,217 is 8246.

GCF of Denominators means GCF of 61,428 as per the given fractions.

GCF of 61,428 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 266,217

LCM of Fractions 266/61,217/428 is 8246

7 266, 217
38, 31

∴ So the LCM of the given numbers is 7 x 38 x 31 = 8246

Least Common Multiple of 266,217 with GCF Formula

Least Common Multiple of 266,217 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 266,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(266,217) = 7

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

GCF(266,217) x common factors =7 x 1 = 7

LCM(266,217) = ( 266 × 217 ) / 7

LCM(266,217) = 57722 / 7

LCM(266,217) = 8246


Lets's calculate GCF of 61,428

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8246/1

Therefore the LCM of Fractions 266/61,217/428 is 8246

Greatest Common Factor of 61,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,428 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 61,428 . The biggest common factor number is the GCF number.
So the greatest common factor 61,428 is 1.


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 266/61, 217/428

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 266/61, 217/428?

Answer: LCM of Numerators as per given numbers 266/61, 217/428 is

LCM of Numerators i.e. for 266,217 is 8246

GCF of denominators i.e. for 61,428 is 1.

Thus, LCM of Fractions is 8246.Finally, LCM of Fractions for 266/61, 217/428 is 8246.