Least Common Multiple of 347/67, 482/45, 976/751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 347/67, 482/45, 976/751 quickly i.e. 81619952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 347/67, 482/45, 976/751 is 81619952.

LCM(347/67, 482/45, 976/751) = 81619952

LCM of 347/67, 482/45, 976/751

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 347/67,482/45,976/751

Given numbers are 347/67,482/45,976/751

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 347,482,976

Least Common Multiple of Numerators i.e. LCM of 347,482,976 is 81619952.

GCF of Denominators means GCF of 67,45,751 as per the given fractions.

GCF of 67,45,751 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 347,482,976

LCM of Fractions 347/67,482/45,976/751 is 81619952

2 347, 482, 976
347, 241, 488

∴ So the LCM of the given numbers is 2 x 347 x 241 x 488 = 81619952

Least Common Multiple of 347,482,976 with GCF Formula

Least Common Multiple of 347,482,976 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 347,482,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(347,482,976) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(347,482,976) x common factors =1 x 2 = 2

LCM(347,482,976) = ( 347 × 482 × 976 ) / 2

LCM(347,482,976) = 163239904 / 2

LCM(347,482,976) = 81619952


Lets's calculate GCF of 67,45,751

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81619952/1

Therefore the LCM of Fractions 347/67,482/45,976/751 is 81619952

Greatest Common Factor of 67,45,751 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,45,751 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Greatest Common Factor

We found the factors 67,45,751 . The biggest common factor number is the GCF number.
So the greatest common factor 67,45,751 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 347/67, 482/45, 976/751

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 347/67, 482/45, 976/751?

Answer: LCM of Numerators as per given numbers 347/67, 482/45, 976/751 is

LCM of Numerators i.e. for 347,482,976 is 81619952

GCF of denominators i.e. for 67,45,751 is 1.

Thus, LCM of Fractions is 81619952.Finally, LCM of Fractions for 347/67, 482/45, 976/751 is 81619952.