Least Common Multiple of 98/55, 739/83, 270/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 98/55, 739/83, 270/870 quickly i.e. 9776970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/55, 739/83, 270/870 is 9776970.

LCM(98/55, 739/83, 270/870) = 9776970

LCM of 98/55, 739/83, 270/870

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 98/55,739/83,270/870

Given numbers are 98/55,739/83,270/870

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 98,739,270

Least Common Multiple of Numerators i.e. LCM of 98,739,270 is 9776970.

GCF of Denominators means GCF of 55,83,870 as per the given fractions.

GCF of 55,83,870 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,739,270

LCM of Fractions 98/55,739/83,270/870 is 9776970

2 98, 739, 270
49, 739, 135

∴ So the LCM of the given numbers is 2 x 49 x 739 x 135 = 9776970

Least Common Multiple of 98,739,270 with GCF Formula

Least Common Multiple of 98,739,270 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 98,739,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,739,270) = 1

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

GCF(98,739,270) x common factors =1 x 2 = 2

LCM(98,739,270) = ( 98 × 739 × 270 ) / 2

LCM(98,739,270) = 19553940 / 2

LCM(98,739,270) = 9776970


Lets's calculate GCF of 55,83,870

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9776970/1

Therefore the LCM of Fractions 98/55,739/83,270/870 is 9776970

Greatest Common Factor of 55,83,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,83,870 By Matching Biggest Common Factor Method

Factors of 55

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

1,5,11,55

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 55,83,870 . The biggest common factor number is the GCF number.
So the greatest common factor 55,83,870 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 98/55, 739/83, 270/870

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 98/55, 739/83, 270/870?

Answer: LCM of Numerators as per given numbers 98/55, 739/83, 270/870 is

LCM of Numerators i.e. for 98,739,270 is 9776970

GCF of denominators i.e. for 55,83,870 is 1.

Thus, LCM of Fractions is 9776970.Finally, LCM of Fractions for 98/55, 739/83, 270/870 is 9776970.