Least Common Multiple of 223/58, 3475/701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 223/58, 3475/701 quickly i.e. 774925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 223/58, 3475/701 is 774925.

LCM(223/58, 3475/701) = 774925

LCM of 223/58, 3475/701

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 223/58,3475/701

Given numbers are 223/58,3475/701

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 223,3475

Least Common Multiple of Numerators i.e. LCM of 223,3475 is 774925.

GCF of Denominators means GCF of 58,701 as per the given fractions.

GCF of 58,701 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 223,3475

LCM of Fractions 223/58,3475/701 is 774925

Given numbers has no common factors except 1. So, there LCM is their product i.e 774925

Least Common Multiple of 223,3475 with GCF Formula

Least Common Multiple of 223,3475 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 223,3475 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,3475) = 1

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

GCF(223,3475) x common factors =1 x 1 = 1

LCM(223,3475) = ( 223 × 3475 ) / 1

LCM(223,3475) = 774925 / 1

LCM(223,3475) = 774925


Lets's calculate GCF of 58,701

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 774925/1

Therefore the LCM of Fractions 223/58,3475/701 is 774925

Greatest Common Factor of 58,701 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,701 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 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Greatest Common Factor

We found the factors 58,701 . The biggest common factor number is the GCF number.
So the greatest common factor 58,701 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 223/58, 3475/701

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 223/58, 3475/701?

Answer: LCM of Numerators as per given numbers 223/58, 3475/701 is

LCM of Numerators i.e. for 223,3475 is 774925

GCF of denominators i.e. for 58,701 is 1.

Thus, LCM of Fractions is 774925.Finally, LCM of Fractions for 223/58, 3475/701 is 774925.