Least Common Multiple of 5604/958, 3496/3558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5604/958, 3496/3558 quickly i.e. 2448948 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5604/958, 3496/3558 is 2448948.

LCM(5604/958, 3496/3558) = 2448948

LCM of 5604/958, 3496/3558

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 5604/958,3496/3558

Given numbers are 5604/958,3496/3558

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 5604,3496

Least Common Multiple of Numerators i.e. LCM of 5604,3496 is 4897896.

GCF of Denominators means GCF of 958,3558 as per the given fractions.

GCF of 958,3558 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5604,3496

LCM of Fractions 5604/958,3496/3558 is 2448948

2 5604, 3496
2 2802, 1748
1401, 874

∴ So the LCM of the given numbers is 2 x 2 x 1401 x 874 = 4897896

Least Common Multiple of 5604,3496 with GCF Formula

Least Common Multiple of 5604,3496 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 5604,3496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5604,3496) = 4

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

GCF(5604,3496) x common factors =4 x 1 = 4

LCM(5604,3496) = ( 5604 × 3496 ) / 4

LCM(5604,3496) = 19591584 / 4

LCM(5604,3496) = 4897896


Lets's calculate GCF of 958,3558

2 958, 3558
479, 1779

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4897896/2

Therefore the LCM of Fractions 5604/958,3496/3558 is 2448948

Greatest Common Factor of 958,3558 By Matching Biggest Common Factor Method

Greatest Common Factor of 958,3558 By Matching Biggest Common Factor Method

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Factors of 3558

List of positive integer factors of 3558 that divides 3558 without a remainder.

1,2,3,6,593,1186,1779,3558

Greatest Common Factor

We found the factors 958,3558 . The biggest common factor number is the GCF number.
So the greatest common factor 958,3558 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5604/958, 3496/3558

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 5604/958, 3496/3558?

Answer: LCM of Numerators as per given numbers 5604/958, 3496/3558 is

LCM of Numerators i.e. for 5604,3496 is 4897896

GCF of denominators i.e. for 958,3558 is 2.

Thus, LCM of Fractions is 2448948.Finally, LCM of Fractions for 5604/958, 3496/3558 is 2448948.