Least Common Multiple of 10/356, 9994/1084

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/356, 9994/1084 quickly i.e. 49970/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/356, 9994/1084 is 49970/4.

LCM(10/356, 9994/1084) = 49970/4

LCM of 10/356, 9994/1084

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 10/356,9994/1084

Given numbers are 10/356,9994/1084

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 10,9994

Least Common Multiple of Numerators i.e. LCM of 10,9994 is 49970.

GCF of Denominators means GCF of 356,1084 as per the given fractions.

GCF of 356,1084 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,9994

LCM of Fractions 10/356,9994/1084 is 49970/4

2 10, 9994
5, 4997

∴ So the LCM of the given numbers is 2 x 5 x 4997 = 49970

Least Common Multiple of 10,9994 with GCF Formula

Least Common Multiple of 10,9994 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 10,9994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,9994) = 2

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

GCF(10,9994) x common factors =2 x 1 = 2

LCM(10,9994) = ( 10 × 9994 ) / 2

LCM(10,9994) = 99940 / 2

LCM(10,9994) = 49970


Lets's calculate GCF of 356,1084

2 356, 1084
2 178, 542
89, 271

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49970/4

Therefore the LCM of Fractions 10/356,9994/1084 is 49970/4

Greatest Common Factor of 356,1084 By Matching Biggest Common Factor Method

Greatest Common Factor of 356,1084 By Matching Biggest Common Factor Method

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 1084

List of positive integer factors of 1084 that divides 1084 without a remainder.

1,2,4,271,542,1084

Greatest Common Factor

We found the factors 356,1084 . The biggest common factor number is the GCF number.
So the greatest common factor 356,1084 is 4.


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 10/356, 9994/1084

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 10/356, 9994/1084?

Answer: LCM of Numerators as per given numbers 10/356, 9994/1084 is

LCM of Numerators i.e. for 10,9994 is 49970

GCF of denominators i.e. for 356,1084 is 4.

Thus, LCM of Fractions is 49970/4.Finally, LCM of Fractions for 10/356, 9994/1084 is 49970/4.