Least Common Multiple of 9790/989, 5785/691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9790/989, 5785/691 quickly i.e. 127270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9790/989, 5785/691 is 127270.

LCM(9790/989, 5785/691) = 127270

LCM of 9790/989, 5785/691

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 9790/989,5785/691

Given numbers are 9790/989,5785/691

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 9790,5785

Least Common Multiple of Numerators i.e. LCM of 9790,5785 is 127270.

GCF of Denominators means GCF of 989,691 as per the given fractions.

GCF of 989,691 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9790,5785

LCM of Fractions 9790/989,5785/691 is 127270

5 9790, 5785
89 1958, 1157
22, 13

∴ So the LCM of the given numbers is 5 x 89 x 22 x 13 = 127270

Least Common Multiple of 9790,5785 with GCF Formula

Least Common Multiple of 9790,5785 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 9790,5785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9790,5785) = 445

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

GCF(9790,5785) x common factors =445 x 1 = 445

LCM(9790,5785) = ( 9790 × 5785 ) / 445

LCM(9790,5785) = 56635150 / 445

LCM(9790,5785) = 127270


Lets's calculate GCF of 989,691

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127270/1

Therefore the LCM of Fractions 9790/989,5785/691 is 127270

Greatest Common Factor of 989,691 By Matching Biggest Common Factor Method

Greatest Common Factor of 989,691 By Matching Biggest Common Factor Method

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 691

List of positive integer factors of 691 that divides 691 without a remainder.

1,691

Greatest Common Factor

We found the factors 989,691 . The biggest common factor number is the GCF number.
So the greatest common factor 989,691 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9790/989, 5785/691

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 9790/989, 5785/691?

Answer: LCM of Numerators as per given numbers 9790/989, 5785/691 is

LCM of Numerators i.e. for 9790,5785 is 127270

GCF of denominators i.e. for 989,691 is 1.

Thus, LCM of Fractions is 127270.Finally, LCM of Fractions for 9790/989, 5785/691 is 127270.