Least Common Multiple of 49/119, 593/797, 258/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/119, 593/797, 258/814 quickly i.e. 7496706 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/119, 593/797, 258/814 is 7496706.

LCM(49/119, 593/797, 258/814) = 7496706

LCM of 49/119, 593/797, 258/814

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 49/119,593/797,258/814

Given numbers are 49/119,593/797,258/814

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 49,593,258

Least Common Multiple of Numerators i.e. LCM of 49,593,258 is 7496706.

GCF of Denominators means GCF of 119,797,814 as per the given fractions.

GCF of 119,797,814 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,593,258

LCM of Fractions 49/119,593/797,258/814 is 7496706

Given numbers has no common factors except 1. So, there LCM is their product i.e 7496706

Least Common Multiple of 49,593,258 with GCF Formula

Least Common Multiple of 49,593,258 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 49,593,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,593,258) = 1

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

GCF(49,593,258) x common factors =1 x 1 = 1

LCM(49,593,258) = ( 49 × 593 × 258 ) / 1

LCM(49,593,258) = 7496706 / 1

LCM(49,593,258) = 7496706


Lets's calculate GCF of 119,797,814

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7496706/1

Therefore the LCM of Fractions 49/119,593/797,258/814 is 7496706

Greatest Common Factor of 119,797,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 119,797,814 By Matching Biggest Common Factor Method

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Factors of 814

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

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

Greatest Common Factor

We found the factors 119,797,814 . The biggest common factor number is the GCF number.
So the greatest common factor 119,797,814 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 49/119, 593/797, 258/814

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 49/119, 593/797, 258/814?

Answer: LCM of Numerators as per given numbers 49/119, 593/797, 258/814 is

LCM of Numerators i.e. for 49,593,258 is 7496706

GCF of denominators i.e. for 119,797,814 is 1.

Thus, LCM of Fractions is 7496706.Finally, LCM of Fractions for 49/119, 593/797, 258/814 is 7496706.