Least Common Multiple of 89/974, 4891/5607

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 89/974, 4891/5607 quickly i.e. 435299 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/974, 4891/5607 is 435299.

LCM(89/974, 4891/5607) = 435299

LCM of 89/974, 4891/5607

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 89/974,4891/5607

Given numbers are 89/974,4891/5607

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 89,4891

Least Common Multiple of Numerators i.e. LCM of 89,4891 is 435299.

GCF of Denominators means GCF of 974,5607 as per the given fractions.

GCF of 974,5607 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,4891

LCM of Fractions 89/974,4891/5607 is 435299

Given numbers has no common factors except 1. So, there LCM is their product i.e 435299

Least Common Multiple of 89,4891 with GCF Formula

Least Common Multiple of 89,4891 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 89,4891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,4891) = 1

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

GCF(89,4891) x common factors =1 x 1 = 1

LCM(89,4891) = ( 89 × 4891 ) / 1

LCM(89,4891) = 435299 / 1

LCM(89,4891) = 435299


Lets's calculate GCF of 974,5607

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 435299/1

Therefore the LCM of Fractions 89/974,4891/5607 is 435299

Greatest Common Factor of 974,5607 By Matching Biggest Common Factor Method

Greatest Common Factor of 974,5607 By Matching Biggest Common Factor Method

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 5607

List of positive integer factors of 5607 that divides 5607 without a remainder.

1,3,7,9,21,63,89,267,623,801,1869,5607

Greatest Common Factor

We found the factors 974,5607 . The biggest common factor number is the GCF number.
So the greatest common factor 974,5607 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 89/974, 4891/5607

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 89/974, 4891/5607?

Answer: LCM of Numerators as per given numbers 89/974, 4891/5607 is

LCM of Numerators i.e. for 89,4891 is 435299

GCF of denominators i.e. for 974,5607 is 1.

Thus, LCM of Fractions is 435299.Finally, LCM of Fractions for 89/974, 4891/5607 is 435299.