Least Common Multiple of 7421/428, 9506/688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7421/428, 9506/688 quickly i.e. 70544026/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7421/428, 9506/688 is 70544026/4.

LCM(7421/428, 9506/688) = 70544026/4

LCM of 7421/428, 9506/688

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 7421/428,9506/688

Given numbers are 7421/428,9506/688

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 7421,9506

Least Common Multiple of Numerators i.e. LCM of 7421,9506 is 70544026.

GCF of Denominators means GCF of 428,688 as per the given fractions.

GCF of 428,688 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7421,9506

LCM of Fractions 7421/428,9506/688 is 70544026/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 70544026

Least Common Multiple of 7421,9506 with GCF Formula

Least Common Multiple of 7421,9506 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 7421,9506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7421,9506) = 1

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

GCF(7421,9506) x common factors =1 x 1 = 1

LCM(7421,9506) = ( 7421 × 9506 ) / 1

LCM(7421,9506) = 70544026 / 1

LCM(7421,9506) = 70544026


Lets's calculate GCF of 428,688

2 428, 688
2 214, 344
107, 172

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70544026/4

Therefore the LCM of Fractions 7421/428,9506/688 is 70544026/4

Greatest Common Factor of 428,688 By Matching Biggest Common Factor Method

Greatest Common Factor of 428,688 By Matching Biggest Common Factor Method

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Greatest Common Factor

We found the factors 428,688 . The biggest common factor number is the GCF number.
So the greatest common factor 428,688 is 4.


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 7421/428, 9506/688

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 7421/428, 9506/688?

Answer: LCM of Numerators as per given numbers 7421/428, 9506/688 is

LCM of Numerators i.e. for 7421,9506 is 70544026

GCF of denominators i.e. for 428,688 is 4.

Thus, LCM of Fractions is 70544026/4.Finally, LCM of Fractions for 7421/428, 9506/688 is 70544026/4.