Least Common Multiple of 7624/871, 3548/8930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7624/871, 3548/8930 quickly i.e. 6762488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7624/871, 3548/8930 is 6762488.

LCM(7624/871, 3548/8930) = 6762488

LCM of 7624/871, 3548/8930

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 7624/871,3548/8930

Given numbers are 7624/871,3548/8930

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 7624,3548

Least Common Multiple of Numerators i.e. LCM of 7624,3548 is 6762488.

GCF of Denominators means GCF of 871,8930 as per the given fractions.

GCF of 871,8930 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7624,3548

LCM of Fractions 7624/871,3548/8930 is 6762488

2 7624, 3548
2 3812, 1774
1906, 887

∴ So the LCM of the given numbers is 2 x 2 x 1906 x 887 = 6762488

Least Common Multiple of 7624,3548 with GCF Formula

Least Common Multiple of 7624,3548 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 7624,3548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7624,3548) = 4

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

GCF(7624,3548) x common factors =4 x 1 = 4

LCM(7624,3548) = ( 7624 × 3548 ) / 4

LCM(7624,3548) = 27049952 / 4

LCM(7624,3548) = 6762488


Lets's calculate GCF of 871,8930

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6762488/1

Therefore the LCM of Fractions 7624/871,3548/8930 is 6762488

Greatest Common Factor of 871,8930 By Matching Biggest Common Factor Method

Greatest Common Factor of 871,8930 By Matching Biggest Common Factor Method

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Factors of 8930

List of positive integer factors of 8930 that divides 8930 without a remainder.

1,2,5,10,19,38,47,94,95,190,235,470,893,1786,4465,8930

Greatest Common Factor

We found the factors 871,8930 . The biggest common factor number is the GCF number.
So the greatest common factor 871,8930 is 1.


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 7624/871, 3548/8930

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 7624/871, 3548/8930?

Answer: LCM of Numerators as per given numbers 7624/871, 3548/8930 is

LCM of Numerators i.e. for 7624,3548 is 6762488

GCF of denominators i.e. for 871,8930 is 1.

Thus, LCM of Fractions is 6762488.Finally, LCM of Fractions for 7624/871, 3548/8930 is 6762488.