Least Common Multiple of 7782/174, 9844/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7782/174, 9844/700 quickly i.e. 19151502 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7782/174, 9844/700 is 19151502.

LCM(7782/174, 9844/700) = 19151502

LCM of 7782/174, 9844/700

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 7782/174,9844/700

Given numbers are 7782/174,9844/700

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 7782,9844

Least Common Multiple of Numerators i.e. LCM of 7782,9844 is 38303004.

GCF of Denominators means GCF of 174,700 as per the given fractions.

GCF of 174,700 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7782,9844

LCM of Fractions 7782/174,9844/700 is 19151502

2 7782, 9844
3891, 4922

∴ So the LCM of the given numbers is 2 x 3891 x 4922 = 38303004

Least Common Multiple of 7782,9844 with GCF Formula

Least Common Multiple of 7782,9844 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 7782,9844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7782,9844) = 2

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

GCF(7782,9844) x common factors =2 x 1 = 2

LCM(7782,9844) = ( 7782 × 9844 ) / 2

LCM(7782,9844) = 76606008 / 2

LCM(7782,9844) = 38303004


Lets's calculate GCF of 174,700

2 174, 700
87, 350

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38303004/2

Therefore the LCM of Fractions 7782/174,9844/700 is 19151502

Greatest Common Factor of 174,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,700 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 174,700 . The biggest common factor number is the GCF number.
So the greatest common factor 174,700 is 2.


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 7782/174, 9844/700

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 7782/174, 9844/700?

Answer: LCM of Numerators as per given numbers 7782/174, 9844/700 is

LCM of Numerators i.e. for 7782,9844 is 38303004

GCF of denominators i.e. for 174,700 is 2.

Thus, LCM of Fractions is 19151502.Finally, LCM of Fractions for 7782/174, 9844/700 is 19151502.