Least Common Multiple of 7237/86, 9800/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7237/86, 9800/692 quickly i.e. 35461300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7237/86, 9800/692 is 35461300.

LCM(7237/86, 9800/692) = 35461300

LCM of 7237/86, 9800/692

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 7237/86,9800/692

Given numbers are 7237/86,9800/692

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 7237,9800

Least Common Multiple of Numerators i.e. LCM of 7237,9800 is 70922600.

GCF of Denominators means GCF of 86,692 as per the given fractions.

GCF of 86,692 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7237,9800

LCM of Fractions 7237/86,9800/692 is 35461300

Given numbers has no common factors except 1. So, there LCM is their product i.e 70922600

Least Common Multiple of 7237,9800 with GCF Formula

Least Common Multiple of 7237,9800 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 7237,9800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7237,9800) = 1

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

GCF(7237,9800) x common factors =1 x 1 = 1

LCM(7237,9800) = ( 7237 × 9800 ) / 1

LCM(7237,9800) = 70922600 / 1

LCM(7237,9800) = 70922600


Lets's calculate GCF of 86,692

2 86, 692
43, 346

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70922600/2

Therefore the LCM of Fractions 7237/86,9800/692 is 35461300

Greatest Common Factor of 86,692 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,692 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Greatest Common Factor

We found the factors 86,692 . The biggest common factor number is the GCF number.
So the greatest common factor 86,692 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 7237/86, 9800/692

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 7237/86, 9800/692?

Answer: LCM of Numerators as per given numbers 7237/86, 9800/692 is

LCM of Numerators i.e. for 7237,9800 is 70922600

GCF of denominators i.e. for 86,692 is 2.

Thus, LCM of Fractions is 35461300.Finally, LCM of Fractions for 7237/86, 9800/692 is 35461300.