Least Common Multiple of 98/930, 501/546, 983/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 98/930, 501/546, 983/368 quickly i.e. 24131667 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/930, 501/546, 983/368 is 24131667.

LCM(98/930, 501/546, 983/368) = 24131667

LCM of 98/930, 501/546, 983/368

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 98/930,501/546,983/368

Given numbers are 98/930,501/546,983/368

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 98,501,983

Least Common Multiple of Numerators i.e. LCM of 98,501,983 is 48263334.

GCF of Denominators means GCF of 930,546,368 as per the given fractions.

GCF of 930,546,368 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,501,983

LCM of Fractions 98/930,501/546,983/368 is 24131667

Given numbers has no common factors except 1. So, there LCM is their product i.e 48263334

Least Common Multiple of 98,501,983 with GCF Formula

Least Common Multiple of 98,501,983 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 98,501,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,501,983) = 1

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

GCF(98,501,983) x common factors =1 x 1 = 1

LCM(98,501,983) = ( 98 × 501 × 983 ) / 1

LCM(98,501,983) = 48263334 / 1

LCM(98,501,983) = 48263334


Lets's calculate GCF of 930,546,368

2 930, 546, 368
465, 273, 184

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48263334/2

Therefore the LCM of Fractions 98/930,501/546,983/368 is 24131667

Greatest Common Factor of 930,546,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 930,546,368 By Matching Biggest Common Factor Method

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 930,546,368 . The biggest common factor number is the GCF number.
So the greatest common factor 930,546,368 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 98/930, 501/546, 983/368

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 98/930, 501/546, 983/368?

Answer: LCM of Numerators as per given numbers 98/930, 501/546, 983/368 is

LCM of Numerators i.e. for 98,501,983 is 48263334

GCF of denominators i.e. for 930,546,368 is 2.

Thus, LCM of Fractions is 24131667.Finally, LCM of Fractions for 98/930, 501/546, 983/368 is 24131667.