Least Common Multiple of 5822/755, 1324/6110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5822/755, 1324/6110 quickly i.e. 3854164/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5822/755, 1324/6110 is 3854164/5.

LCM(5822/755, 1324/6110) = 3854164/5

LCM of 5822/755, 1324/6110

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 5822/755,1324/6110

Given numbers are 5822/755,1324/6110

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 5822,1324

Least Common Multiple of Numerators i.e. LCM of 5822,1324 is 3854164.

GCF of Denominators means GCF of 755,6110 as per the given fractions.

GCF of 755,6110 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5822,1324

LCM of Fractions 5822/755,1324/6110 is 3854164/5

2 5822, 1324
2911, 662

∴ So the LCM of the given numbers is 2 x 2911 x 662 = 3854164

Least Common Multiple of 5822,1324 with GCF Formula

Least Common Multiple of 5822,1324 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 5822,1324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5822,1324) = 2

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

GCF(5822,1324) x common factors =2 x 1 = 2

LCM(5822,1324) = ( 5822 × 1324 ) / 2

LCM(5822,1324) = 7708328 / 2

LCM(5822,1324) = 3854164


Lets's calculate GCF of 755,6110

5 755, 6110
151, 1222

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3854164/5

Therefore the LCM of Fractions 5822/755,1324/6110 is 3854164/5

Greatest Common Factor of 755,6110 By Matching Biggest Common Factor Method

Greatest Common Factor of 755,6110 By Matching Biggest Common Factor Method

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 6110

List of positive integer factors of 6110 that divides 6110 without a remainder.

1,2,5,10,13,26,47,65,94,130,235,470,611,1222,3055,6110

Greatest Common Factor

We found the factors 755,6110 . The biggest common factor number is the GCF number.
So the greatest common factor 755,6110 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5822/755, 1324/6110

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 5822/755, 1324/6110?

Answer: LCM of Numerators as per given numbers 5822/755, 1324/6110 is

LCM of Numerators i.e. for 5822,1324 is 3854164

GCF of denominators i.e. for 755,6110 is 5.

Thus, LCM of Fractions is 3854164/5.Finally, LCM of Fractions for 5822/755, 1324/6110 is 3854164/5.