Least Common Multiple of 922/97, 884/55, 362/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 922/97, 884/55, 362/614 quickly i.e. 73761844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 922/97, 884/55, 362/614 is 73761844.

LCM(922/97, 884/55, 362/614) = 73761844

LCM of 922/97, 884/55, 362/614

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 922/97,884/55,362/614

Given numbers are 922/97,884/55,362/614

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 922,884,362

Least Common Multiple of Numerators i.e. LCM of 922,884,362 is 73761844.

GCF of Denominators means GCF of 97,55,614 as per the given fractions.

GCF of 97,55,614 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 922,884,362

LCM of Fractions 922/97,884/55,362/614 is 73761844

2 922, 884, 362
461, 442, 181

∴ So the LCM of the given numbers is 2 x 461 x 442 x 181 = 73761844

Least Common Multiple of 922,884,362 with GCF Formula

Least Common Multiple of 922,884,362 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 922,884,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(922,884,362) = 2

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

GCF(922,884,362) x common factors =2 x 2 = 4

LCM(922,884,362) = ( 922 × 884 × 362 ) / 4

LCM(922,884,362) = 295047376 / 4

LCM(922,884,362) = 73761844


Lets's calculate GCF of 97,55,614

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73761844/1

Therefore the LCM of Fractions 922/97,884/55,362/614 is 73761844

Greatest Common Factor of 97,55,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,55,614 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 97,55,614 . The biggest common factor number is the GCF number.
So the greatest common factor 97,55,614 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 922/97, 884/55, 362/614

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 922/97, 884/55, 362/614?

Answer: LCM of Numerators as per given numbers 922/97, 884/55, 362/614 is

LCM of Numerators i.e. for 922,884,362 is 73761844

GCF of denominators i.e. for 97,55,614 is 1.

Thus, LCM of Fractions is 73761844.Finally, LCM of Fractions for 922/97, 884/55, 362/614 is 73761844.