Least Common Multiple of 49/340, 91/424, 515/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/340, 91/424, 515/114 quickly i.e. 328055/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/340, 91/424, 515/114 is 328055/2.

LCM(49/340, 91/424, 515/114) = 328055/2

LCM of 49/340, 91/424, 515/114

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 49/340,91/424,515/114

Given numbers are 49/340,91/424,515/114

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 49,91,515

Least Common Multiple of Numerators i.e. LCM of 49,91,515 is 328055.

GCF of Denominators means GCF of 340,424,114 as per the given fractions.

GCF of 340,424,114 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,91,515

LCM of Fractions 49/340,91/424,515/114 is 328055/2

7 49, 91, 515
7, 13, 515

∴ So the LCM of the given numbers is 7 x 7 x 13 x 515 = 328055

Least Common Multiple of 49,91,515 with GCF Formula

Least Common Multiple of 49,91,515 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 49,91,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,91,515) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(49,91,515) x common factors =1 x 7 = 7

LCM(49,91,515) = ( 49 × 91 × 515 ) / 7

LCM(49,91,515) = 2296385 / 7

LCM(49,91,515) = 328055


Lets's calculate GCF of 340,424,114

2 340, 424, 114
170, 212, 57

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 328055/2

Therefore the LCM of Fractions 49/340,91/424,515/114 is 328055/2

Greatest Common Factor of 340,424,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,424,114 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 340,424,114 . The biggest common factor number is the GCF number.
So the greatest common factor 340,424,114 is 2.


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 49/340, 91/424, 515/114

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 49/340, 91/424, 515/114?

Answer: LCM of Numerators as per given numbers 49/340, 91/424, 515/114 is

LCM of Numerators i.e. for 49,91,515 is 328055

GCF of denominators i.e. for 340,424,114 is 2.

Thus, LCM of Fractions is 328055/2.Finally, LCM of Fractions for 49/340, 91/424, 515/114 is 328055/2.