Least Common Multiple of 5470/266, 5770/3545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5470/266, 5770/3545 quickly i.e. 3156190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5470/266, 5770/3545 is 3156190.

LCM(5470/266, 5770/3545) = 3156190

LCM of 5470/266, 5770/3545

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 5470/266,5770/3545

Given numbers are 5470/266,5770/3545

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 5470,5770

Least Common Multiple of Numerators i.e. LCM of 5470,5770 is 3156190.

GCF of Denominators means GCF of 266,3545 as per the given fractions.

GCF of 266,3545 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5470,5770

LCM of Fractions 5470/266,5770/3545 is 3156190

2 5470, 5770
5 2735, 2885
547, 577

∴ So the LCM of the given numbers is 2 x 5 x 547 x 577 = 3156190

Least Common Multiple of 5470,5770 with GCF Formula

Least Common Multiple of 5470,5770 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 5470,5770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5470,5770) = 10

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

GCF(5470,5770) x common factors =10 x 1 = 10

LCM(5470,5770) = ( 5470 × 5770 ) / 10

LCM(5470,5770) = 31561900 / 10

LCM(5470,5770) = 3156190


Lets's calculate GCF of 266,3545

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3156190/1

Therefore the LCM of Fractions 5470/266,5770/3545 is 3156190

Greatest Common Factor of 266,3545 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,3545 By Matching Biggest Common Factor Method

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 3545

List of positive integer factors of 3545 that divides 3545 without a remainder.

1,5,709,3545

Greatest Common Factor

We found the factors 266,3545 . The biggest common factor number is the GCF number.
So the greatest common factor 266,3545 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5470/266, 5770/3545

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 5470/266, 5770/3545?

Answer: LCM of Numerators as per given numbers 5470/266, 5770/3545 is

LCM of Numerators i.e. for 5470,5770 is 3156190

GCF of denominators i.e. for 266,3545 is 1.

Thus, LCM of Fractions is 3156190.Finally, LCM of Fractions for 5470/266, 5770/3545 is 3156190.