Least Common Multiple of 10/850, 9574/1043

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 10/850, 9574/1043 quickly i.e. 47870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/850, 9574/1043 is 47870.

LCM(10/850, 9574/1043) = 47870

LCM of 10/850, 9574/1043

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 10/850,9574/1043

Given numbers are 10/850,9574/1043

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 10,9574

Least Common Multiple of Numerators i.e. LCM of 10,9574 is 47870.

GCF of Denominators means GCF of 850,1043 as per the given fractions.

GCF of 850,1043 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,9574

LCM of Fractions 10/850,9574/1043 is 47870

2 10, 9574
5, 4787

∴ So the LCM of the given numbers is 2 x 5 x 4787 = 47870

Least Common Multiple of 10,9574 with GCF Formula

Least Common Multiple of 10,9574 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 10,9574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,9574) = 2

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

GCF(10,9574) x common factors =2 x 1 = 2

LCM(10,9574) = ( 10 × 9574 ) / 2

LCM(10,9574) = 95740 / 2

LCM(10,9574) = 47870


Lets's calculate GCF of 850,1043

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47870/1

Therefore the LCM of Fractions 10/850,9574/1043 is 47870

Greatest Common Factor of 850,1043 By Matching Biggest Common Factor Method

Greatest Common Factor of 850,1043 By Matching Biggest Common Factor Method

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 1043

List of positive integer factors of 1043 that divides 1043 without a remainder.

1,7,149,1043

Greatest Common Factor

We found the factors 850,1043 . The biggest common factor number is the GCF number.
So the greatest common factor 850,1043 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 10/850, 9574/1043

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 10/850, 9574/1043?

Answer: LCM of Numerators as per given numbers 10/850, 9574/1043 is

LCM of Numerators i.e. for 10,9574 is 47870

GCF of denominators i.e. for 850,1043 is 1.

Thus, LCM of Fractions is 47870.Finally, LCM of Fractions for 10/850, 9574/1043 is 47870.