Least Common Multiple of 356/57, 4558/490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 356/57, 4558/490 quickly i.e. 811324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 356/57, 4558/490 is 811324.

LCM(356/57, 4558/490) = 811324

LCM of 356/57, 4558/490

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 356/57,4558/490

Given numbers are 356/57,4558/490

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 356,4558

Least Common Multiple of Numerators i.e. LCM of 356,4558 is 811324.

GCF of Denominators means GCF of 57,490 as per the given fractions.

GCF of 57,490 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 356,4558

LCM of Fractions 356/57,4558/490 is 811324

2 356, 4558
178, 2279

∴ So the LCM of the given numbers is 2 x 178 x 2279 = 811324

Least Common Multiple of 356,4558 with GCF Formula

Least Common Multiple of 356,4558 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 356,4558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(356,4558) = 2

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

GCF(356,4558) x common factors =2 x 1 = 2

LCM(356,4558) = ( 356 × 4558 ) / 2

LCM(356,4558) = 1622648 / 2

LCM(356,4558) = 811324


Lets's calculate GCF of 57,490

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 811324/1

Therefore the LCM of Fractions 356/57,4558/490 is 811324

Greatest Common Factor of 57,490 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,490 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 57,490 . The biggest common factor number is the GCF number.
So the greatest common factor 57,490 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 356/57, 4558/490

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 356/57, 4558/490?

Answer: LCM of Numerators as per given numbers 356/57, 4558/490 is

LCM of Numerators i.e. for 356,4558 is 811324

GCF of denominators i.e. for 57,490 is 1.

Thus, LCM of Fractions is 811324.Finally, LCM of Fractions for 356/57, 4558/490 is 811324.