Least Common Multiple of 4270/961, 2188/4838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4270/961, 2188/4838 quickly i.e. 4671380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4270/961, 2188/4838 is 4671380.

LCM(4270/961, 2188/4838) = 4671380

LCM of 4270/961, 2188/4838

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 4270/961,2188/4838

Given numbers are 4270/961,2188/4838

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 4270,2188

Least Common Multiple of Numerators i.e. LCM of 4270,2188 is 4671380.

GCF of Denominators means GCF of 961,4838 as per the given fractions.

GCF of 961,4838 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4270,2188

LCM of Fractions 4270/961,2188/4838 is 4671380

2 4270, 2188
2135, 1094

∴ So the LCM of the given numbers is 2 x 2135 x 1094 = 4671380

Least Common Multiple of 4270,2188 with GCF Formula

Least Common Multiple of 4270,2188 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 4270,2188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4270,2188) = 2

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

GCF(4270,2188) x common factors =2 x 1 = 2

LCM(4270,2188) = ( 4270 × 2188 ) / 2

LCM(4270,2188) = 9342760 / 2

LCM(4270,2188) = 4671380


Lets's calculate GCF of 961,4838

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4671380/1

Therefore the LCM of Fractions 4270/961,2188/4838 is 4671380

Greatest Common Factor of 961,4838 By Matching Biggest Common Factor Method

Greatest Common Factor of 961,4838 By Matching Biggest Common Factor Method

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Factors of 4838

List of positive integer factors of 4838 that divides 4838 without a remainder.

1,2,41,59,82,118,2419,4838

Greatest Common Factor

We found the factors 961,4838 . The biggest common factor number is the GCF number.
So the greatest common factor 961,4838 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4270/961, 2188/4838

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 4270/961, 2188/4838?

Answer: LCM of Numerators as per given numbers 4270/961, 2188/4838 is

LCM of Numerators i.e. for 4270,2188 is 4671380

GCF of denominators i.e. for 961,4838 is 1.

Thus, LCM of Fractions is 4671380.Finally, LCM of Fractions for 4270/961, 2188/4838 is 4671380.