Least Common Multiple of 7042/520, 9905/6228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7042/520, 9905/6228 quickly i.e. 9964430/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7042/520, 9905/6228 is 9964430/4.

LCM(7042/520, 9905/6228) = 9964430/4

LCM of 7042/520, 9905/6228

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 7042/520,9905/6228

Given numbers are 7042/520,9905/6228

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 7042,9905

Least Common Multiple of Numerators i.e. LCM of 7042,9905 is 9964430.

GCF of Denominators means GCF of 520,6228 as per the given fractions.

GCF of 520,6228 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7042,9905

LCM of Fractions 7042/520,9905/6228 is 9964430/4

7 7042, 9905
1006, 1415

∴ So the LCM of the given numbers is 7 x 1006 x 1415 = 9964430

Least Common Multiple of 7042,9905 with GCF Formula

Least Common Multiple of 7042,9905 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 7042,9905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7042,9905) = 7

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

GCF(7042,9905) x common factors =7 x 1 = 7

LCM(7042,9905) = ( 7042 × 9905 ) / 7

LCM(7042,9905) = 69751010 / 7

LCM(7042,9905) = 9964430


Lets's calculate GCF of 520,6228

2 520, 6228
2 260, 3114
130, 1557

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9964430/4

Therefore the LCM of Fractions 7042/520,9905/6228 is 9964430/4

Greatest Common Factor of 520,6228 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,6228 By Matching Biggest Common Factor Method

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Factors of 6228

List of positive integer factors of 6228 that divides 6228 without a remainder.

1,2,3,4,6,9,12,18,36,173,346,519,692,1038,1557,2076,3114,6228

Greatest Common Factor

We found the factors 520,6228 . The biggest common factor number is the GCF number.
So the greatest common factor 520,6228 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 7042/520, 9905/6228

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 7042/520, 9905/6228?

Answer: LCM of Numerators as per given numbers 7042/520, 9905/6228 is

LCM of Numerators i.e. for 7042,9905 is 9964430

GCF of denominators i.e. for 520,6228 is 4.

Thus, LCM of Fractions is 9964430/4.Finally, LCM of Fractions for 7042/520, 9905/6228 is 9964430/4.