Least Common Multiple of 4622/752, 3818/9778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4622/752, 3818/9778 quickly i.e. 4411699 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4622/752, 3818/9778 is 4411699.

LCM(4622/752, 3818/9778) = 4411699

LCM of 4622/752, 3818/9778

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 4622/752,3818/9778

Given numbers are 4622/752,3818/9778

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 4622,3818

Least Common Multiple of Numerators i.e. LCM of 4622,3818 is 8823398.

GCF of Denominators means GCF of 752,9778 as per the given fractions.

GCF of 752,9778 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4622,3818

LCM of Fractions 4622/752,3818/9778 is 4411699

2 4622, 3818
2311, 1909

∴ So the LCM of the given numbers is 2 x 2311 x 1909 = 8823398

Least Common Multiple of 4622,3818 with GCF Formula

Least Common Multiple of 4622,3818 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 4622,3818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4622,3818) = 2

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

GCF(4622,3818) x common factors =2 x 1 = 2

LCM(4622,3818) = ( 4622 × 3818 ) / 2

LCM(4622,3818) = 17646796 / 2

LCM(4622,3818) = 8823398


Lets's calculate GCF of 752,9778

2 752, 9778
376, 4889

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8823398/2

Therefore the LCM of Fractions 4622/752,3818/9778 is 4411699

Greatest Common Factor of 752,9778 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,9778 By Matching Biggest Common Factor Method

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 9778

List of positive integer factors of 9778 that divides 9778 without a remainder.

1,2,4889,9778

Greatest Common Factor

We found the factors 752,9778 . The biggest common factor number is the GCF number.
So the greatest common factor 752,9778 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4622/752, 3818/9778

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 4622/752, 3818/9778?

Answer: LCM of Numerators as per given numbers 4622/752, 3818/9778 is

LCM of Numerators i.e. for 4622,3818 is 8823398

GCF of denominators i.e. for 752,9778 is 2.

Thus, LCM of Fractions is 4411699.Finally, LCM of Fractions for 4622/752, 3818/9778 is 4411699.