Least Common Multiple of 810/98, 967/41, 149/610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 810/98, 967/41, 149/610 quickly i.e. 116707230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 810/98, 967/41, 149/610 is 116707230.

LCM(810/98, 967/41, 149/610) = 116707230

LCM of 810/98, 967/41, 149/610

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 810/98,967/41,149/610

Given numbers are 810/98,967/41,149/610

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 810,967,149

Least Common Multiple of Numerators i.e. LCM of 810,967,149 is 116707230.

GCF of Denominators means GCF of 98,41,610 as per the given fractions.

GCF of 98,41,610 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 810,967,149

LCM of Fractions 810/98,967/41,149/610 is 116707230

Given numbers has no common factors except 1. So, there LCM is their product i.e 116707230

Least Common Multiple of 810,967,149 with GCF Formula

Least Common Multiple of 810,967,149 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 810,967,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,967,149) = 1

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

GCF(810,967,149) x common factors =1 x 1 = 1

LCM(810,967,149) = ( 810 × 967 × 149 ) / 1

LCM(810,967,149) = 116707230 / 1

LCM(810,967,149) = 116707230


Lets's calculate GCF of 98,41,610

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116707230/1

Therefore the LCM of Fractions 810/98,967/41,149/610 is 116707230

Greatest Common Factor of 98,41,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,41,610 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Greatest Common Factor

We found the factors 98,41,610 . The biggest common factor number is the GCF number.
So the greatest common factor 98,41,610 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 810/98, 967/41, 149/610

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 810/98, 967/41, 149/610?

Answer: LCM of Numerators as per given numbers 810/98, 967/41, 149/610 is

LCM of Numerators i.e. for 810,967,149 is 116707230

GCF of denominators i.e. for 98,41,610 is 1.

Thus, LCM of Fractions is 116707230.Finally, LCM of Fractions for 810/98, 967/41, 149/610 is 116707230.