Least Common Multiple of 49/814, 84/617, 686/241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/814, 84/617, 686/241 quickly i.e. 4116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/814, 84/617, 686/241 is 4116.

LCM(49/814, 84/617, 686/241) = 4116

LCM of 49/814, 84/617, 686/241

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 49/814,84/617,686/241

Given numbers are 49/814,84/617,686/241

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 49,84,686

Least Common Multiple of Numerators i.e. LCM of 49,84,686 is 4116.

GCF of Denominators means GCF of 814,617,241 as per the given fractions.

GCF of 814,617,241 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,84,686

LCM of Fractions 49/814,84/617,686/241 is 4116

2 49, 84, 686
7 49, 42, 343
7 7, 6, 49
1, 6, 7

∴ So the LCM of the given numbers is 2 x 7 x 7 x 1 x 6 x 7 = 4116

Least Common Multiple of 49,84,686 with GCF Formula

Least Common Multiple of 49,84,686 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 49,84,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,84,686) = 7

common factors(in case of two or more numbers have common factors) = 98

GCF(49,84,686) x common factors =7 x 98 = 686

LCM(49,84,686) = ( 49 × 84 × 686 ) / 686

LCM(49,84,686) = 2823576 / 686

LCM(49,84,686) = 4116


Lets's calculate GCF of 814,617,241

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4116/1

Therefore the LCM of Fractions 49/814,84/617,686/241 is 4116

Greatest Common Factor of 814,617,241 By Matching Biggest Common Factor Method

Greatest Common Factor of 814,617,241 By Matching Biggest Common Factor Method

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Greatest Common Factor

We found the factors 814,617,241 . The biggest common factor number is the GCF number.
So the greatest common factor 814,617,241 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 49/814, 84/617, 686/241

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 49/814, 84/617, 686/241?

Answer: LCM of Numerators as per given numbers 49/814, 84/617, 686/241 is

LCM of Numerators i.e. for 49,84,686 is 4116

GCF of denominators i.e. for 814,617,241 is 1.

Thus, LCM of Fractions is 4116.Finally, LCM of Fractions for 49/814, 84/617, 686/241 is 4116.