Least Common Multiple of 9230/798, 7627/5948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9230/798, 7627/5948 quickly i.e. 35198605 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9230/798, 7627/5948 is 35198605.

LCM(9230/798, 7627/5948) = 35198605

LCM of 9230/798, 7627/5948

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 9230/798,7627/5948

Given numbers are 9230/798,7627/5948

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 9230,7627

Least Common Multiple of Numerators i.e. LCM of 9230,7627 is 70397210.

GCF of Denominators means GCF of 798,5948 as per the given fractions.

GCF of 798,5948 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9230,7627

LCM of Fractions 9230/798,7627/5948 is 35198605

Given numbers has no common factors except 1. So, there LCM is their product i.e 70397210

Least Common Multiple of 9230,7627 with GCF Formula

Least Common Multiple of 9230,7627 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 9230,7627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9230,7627) = 1

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

GCF(9230,7627) x common factors =1 x 1 = 1

LCM(9230,7627) = ( 9230 × 7627 ) / 1

LCM(9230,7627) = 70397210 / 1

LCM(9230,7627) = 70397210


Lets's calculate GCF of 798,5948

2 798, 5948
399, 2974

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70397210/2

Therefore the LCM of Fractions 9230/798,7627/5948 is 35198605

Greatest Common Factor of 798,5948 By Matching Biggest Common Factor Method

Greatest Common Factor of 798,5948 By Matching Biggest Common Factor Method

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 5948

List of positive integer factors of 5948 that divides 5948 without a remainder.

1,2,4,1487,2974,5948

Greatest Common Factor

We found the factors 798,5948 . The biggest common factor number is the GCF number.
So the greatest common factor 798,5948 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 9230/798, 7627/5948

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 9230/798, 7627/5948?

Answer: LCM of Numerators as per given numbers 9230/798, 7627/5948 is

LCM of Numerators i.e. for 9230,7627 is 70397210

GCF of denominators i.e. for 798,5948 is 2.

Thus, LCM of Fractions is 35198605.Finally, LCM of Fractions for 9230/798, 7627/5948 is 35198605.