Least Common Multiple of 9724/826, 2698/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9724/826, 2698/954 quickly i.e. 6558838 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9724/826, 2698/954 is 6558838.

LCM(9724/826, 2698/954) = 6558838

LCM of 9724/826, 2698/954

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 9724/826,2698/954

Given numbers are 9724/826,2698/954

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 9724,2698

Least Common Multiple of Numerators i.e. LCM of 9724,2698 is 13117676.

GCF of Denominators means GCF of 826,954 as per the given fractions.

GCF of 826,954 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9724,2698

LCM of Fractions 9724/826,2698/954 is 6558838

2 9724, 2698
4862, 1349

∴ So the LCM of the given numbers is 2 x 4862 x 1349 = 13117676

Least Common Multiple of 9724,2698 with GCF Formula

Least Common Multiple of 9724,2698 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 9724,2698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9724,2698) = 2

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

GCF(9724,2698) x common factors =2 x 1 = 2

LCM(9724,2698) = ( 9724 × 2698 ) / 2

LCM(9724,2698) = 26235352 / 2

LCM(9724,2698) = 13117676


Lets's calculate GCF of 826,954

2 826, 954
413, 477

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13117676/2

Therefore the LCM of Fractions 9724/826,2698/954 is 6558838

Greatest Common Factor of 826,954 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,954 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Greatest Common Factor

We found the factors 826,954 . The biggest common factor number is the GCF number.
So the greatest common factor 826,954 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 9724/826, 2698/954

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 9724/826, 2698/954?

Answer: LCM of Numerators as per given numbers 9724/826, 2698/954 is

LCM of Numerators i.e. for 9724,2698 is 13117676

GCF of denominators i.e. for 826,954 is 2.

Thus, LCM of Fractions is 6558838.Finally, LCM of Fractions for 9724/826, 2698/954 is 6558838.