Least Common Multiple of 9730/895, 6470/5688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9730/895, 6470/5688 quickly i.e. 6295310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9730/895, 6470/5688 is 6295310.

LCM(9730/895, 6470/5688) = 6295310

LCM of 9730/895, 6470/5688

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 9730/895,6470/5688

Given numbers are 9730/895,6470/5688

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 9730,6470

Least Common Multiple of Numerators i.e. LCM of 9730,6470 is 6295310.

GCF of Denominators means GCF of 895,5688 as per the given fractions.

GCF of 895,5688 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9730,6470

LCM of Fractions 9730/895,6470/5688 is 6295310

2 9730, 6470
5 4865, 3235
973, 647

∴ So the LCM of the given numbers is 2 x 5 x 973 x 647 = 6295310

Least Common Multiple of 9730,6470 with GCF Formula

Least Common Multiple of 9730,6470 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 9730,6470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9730,6470) = 10

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

GCF(9730,6470) x common factors =10 x 1 = 10

LCM(9730,6470) = ( 9730 × 6470 ) / 10

LCM(9730,6470) = 62953100 / 10

LCM(9730,6470) = 6295310


Lets's calculate GCF of 895,5688

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6295310/1

Therefore the LCM of Fractions 9730/895,6470/5688 is 6295310

Greatest Common Factor of 895,5688 By Matching Biggest Common Factor Method

Greatest Common Factor of 895,5688 By Matching Biggest Common Factor Method

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Factors of 5688

List of positive integer factors of 5688 that divides 5688 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,79,158,237,316,474,632,711,948,1422,1896,2844,5688

Greatest Common Factor

We found the factors 895,5688 . The biggest common factor number is the GCF number.
So the greatest common factor 895,5688 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9730/895, 6470/5688

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 9730/895, 6470/5688?

Answer: LCM of Numerators as per given numbers 9730/895, 6470/5688 is

LCM of Numerators i.e. for 9730,6470 is 6295310

GCF of denominators i.e. for 895,5688 is 1.

Thus, LCM of Fractions is 6295310.Finally, LCM of Fractions for 9730/895, 6470/5688 is 6295310.