Least Common Multiple of 529/455, 6747/5138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 529/455, 6747/5138 quickly i.e. 3569163/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 529/455, 6747/5138 is 3569163/7.

LCM(529/455, 6747/5138) = 3569163/7

LCM of 529/455, 6747/5138

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 529/455,6747/5138

Given numbers are 529/455,6747/5138

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 529,6747

Least Common Multiple of Numerators i.e. LCM of 529,6747 is 3569163.

GCF of Denominators means GCF of 455,5138 as per the given fractions.

GCF of 455,5138 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 529,6747

LCM of Fractions 529/455,6747/5138 is 3569163/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 3569163

Least Common Multiple of 529,6747 with GCF Formula

Least Common Multiple of 529,6747 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 529,6747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(529,6747) = 1

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

GCF(529,6747) x common factors =1 x 1 = 1

LCM(529,6747) = ( 529 × 6747 ) / 1

LCM(529,6747) = 3569163 / 1

LCM(529,6747) = 3569163


Lets's calculate GCF of 455,5138

7 455, 5138
65, 734

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3569163/7

Therefore the LCM of Fractions 529/455,6747/5138 is 3569163/7

Greatest Common Factor of 455,5138 By Matching Biggest Common Factor Method

Greatest Common Factor of 455,5138 By Matching Biggest Common Factor Method

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Factors of 5138

List of positive integer factors of 5138 that divides 5138 without a remainder.

1,2,7,14,367,734,2569,5138

Greatest Common Factor

We found the factors 455,5138 . The biggest common factor number is the GCF number.
So the greatest common factor 455,5138 is 7.


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 529/455, 6747/5138

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 529/455, 6747/5138?

Answer: LCM of Numerators as per given numbers 529/455, 6747/5138 is

LCM of Numerators i.e. for 529,6747 is 3569163

GCF of denominators i.e. for 455,5138 is 7.

Thus, LCM of Fractions is 3569163/7.Finally, LCM of Fractions for 529/455, 6747/5138 is 3569163/7.