Least Common Multiple of 10/947, 7893/8410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 10/947, 7893/8410 quickly i.e. 78930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/947, 7893/8410 is 78930.

LCM(10/947, 7893/8410) = 78930

LCM of 10/947, 7893/8410

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 10/947,7893/8410

Given numbers are 10/947,7893/8410

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 10,7893

Least Common Multiple of Numerators i.e. LCM of 10,7893 is 78930.

GCF of Denominators means GCF of 947,8410 as per the given fractions.

GCF of 947,8410 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,7893

LCM of Fractions 10/947,7893/8410 is 78930

Given numbers has no common factors except 1. So, there LCM is their product i.e 78930

Least Common Multiple of 10,7893 with GCF Formula

Least Common Multiple of 10,7893 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 10,7893 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,7893) = 1

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

GCF(10,7893) x common factors =1 x 1 = 1

LCM(10,7893) = ( 10 × 7893 ) / 1

LCM(10,7893) = 78930 / 1

LCM(10,7893) = 78930


Lets's calculate GCF of 947,8410

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78930/1

Therefore the LCM of Fractions 10/947,7893/8410 is 78930

Greatest Common Factor of 947,8410 By Matching Biggest Common Factor Method

Greatest Common Factor of 947,8410 By Matching Biggest Common Factor Method

Factors of 947

List of positive integer factors of 947 that divides 947 without a remainder.

1,947

Factors of 8410

List of positive integer factors of 8410 that divides 8410 without a remainder.

1,2,5,10,29,58,145,290,841,1682,4205,8410

Greatest Common Factor

We found the factors 947,8410 . The biggest common factor number is the GCF number.
So the greatest common factor 947,8410 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 10/947, 7893/8410

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 10/947, 7893/8410?

Answer: LCM of Numerators as per given numbers 10/947, 7893/8410 is

LCM of Numerators i.e. for 10,7893 is 78930

GCF of denominators i.e. for 947,8410 is 1.

Thus, LCM of Fractions is 78930.Finally, LCM of Fractions for 10/947, 7893/8410 is 78930.