Least Common Multiple of 637/58, 193/83, 511/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 637/58, 193/83, 511/114 quickly i.e. 8974693 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 637/58, 193/83, 511/114 is 8974693.

LCM(637/58, 193/83, 511/114) = 8974693

LCM of 637/58, 193/83, 511/114

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 637/58,193/83,511/114

Given numbers are 637/58,193/83,511/114

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 637,193,511

Least Common Multiple of Numerators i.e. LCM of 637,193,511 is 8974693.

GCF of Denominators means GCF of 58,83,114 as per the given fractions.

GCF of 58,83,114 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 637,193,511

LCM of Fractions 637/58,193/83,511/114 is 8974693

7 637, 193, 511
91, 193, 73

∴ So the LCM of the given numbers is 7 x 91 x 193 x 73 = 8974693

Least Common Multiple of 637,193,511 with GCF Formula

Least Common Multiple of 637,193,511 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 637,193,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(637,193,511) = 1

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

GCF(637,193,511) x common factors =1 x 7 = 7

LCM(637,193,511) = ( 637 × 193 × 511 ) / 7

LCM(637,193,511) = 62822851 / 7

LCM(637,193,511) = 8974693


Lets's calculate GCF of 58,83,114

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8974693/1

Therefore the LCM of Fractions 637/58,193/83,511/114 is 8974693

Greatest Common Factor of 58,83,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,83,114 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

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 58,83,114 . The biggest common factor number is the GCF number.
So the greatest common factor 58,83,114 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 637/58, 193/83, 511/114

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 637/58, 193/83, 511/114?

Answer: LCM of Numerators as per given numbers 637/58, 193/83, 511/114 is

LCM of Numerators i.e. for 637,193,511 is 8974693

GCF of denominators i.e. for 58,83,114 is 1.

Thus, LCM of Fractions is 8974693.Finally, LCM of Fractions for 637/58, 193/83, 511/114 is 8974693.