Least Common Multiple of 9470/143, 7850/7846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9470/143, 7850/7846 quickly i.e. 7433950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9470/143, 7850/7846 is 7433950.

LCM(9470/143, 7850/7846) = 7433950

LCM of 9470/143, 7850/7846

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 9470/143,7850/7846

Given numbers are 9470/143,7850/7846

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 9470,7850

Least Common Multiple of Numerators i.e. LCM of 9470,7850 is 7433950.

GCF of Denominators means GCF of 143,7846 as per the given fractions.

GCF of 143,7846 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9470,7850

LCM of Fractions 9470/143,7850/7846 is 7433950

2 9470, 7850
5 4735, 3925
947, 785

∴ So the LCM of the given numbers is 2 x 5 x 947 x 785 = 7433950

Least Common Multiple of 9470,7850 with GCF Formula

Least Common Multiple of 9470,7850 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 9470,7850 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9470,7850) = 10

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

GCF(9470,7850) x common factors =10 x 1 = 10

LCM(9470,7850) = ( 9470 × 7850 ) / 10

LCM(9470,7850) = 74339500 / 10

LCM(9470,7850) = 7433950


Lets's calculate GCF of 143,7846

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7433950/1

Therefore the LCM of Fractions 9470/143,7850/7846 is 7433950

Greatest Common Factor of 143,7846 By Matching Biggest Common Factor Method

Greatest Common Factor of 143,7846 By Matching Biggest Common Factor Method

Factors of 143

List of positive integer factors of 143 that divides 143 without a remainder.

1,11,13,143

Factors of 7846

List of positive integer factors of 7846 that divides 7846 without a remainder.

1,2,3923,7846

Greatest Common Factor

We found the factors 143,7846 . The biggest common factor number is the GCF number.
So the greatest common factor 143,7846 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 9470/143, 7850/7846

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 9470/143, 7850/7846?

Answer: LCM of Numerators as per given numbers 9470/143, 7850/7846 is

LCM of Numerators i.e. for 9470,7850 is 7433950

GCF of denominators i.e. for 143,7846 is 1.

Thus, LCM of Fractions is 7433950.Finally, LCM of Fractions for 9470/143, 7850/7846 is 7433950.