Least Common Multiple of 98/59, 30/670, 473/827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 98/59, 30/670, 473/827 quickly i.e. 695310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 98/59, 30/670, 473/827 is 695310.

LCM(98/59, 30/670, 473/827) = 695310

LCM of 98/59, 30/670, 473/827

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 98/59,30/670,473/827

Given numbers are 98/59,30/670,473/827

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 98,30,473

Least Common Multiple of Numerators i.e. LCM of 98,30,473 is 695310.

GCF of Denominators means GCF of 59,670,827 as per the given fractions.

GCF of 59,670,827 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 98,30,473

LCM of Fractions 98/59,30/670,473/827 is 695310

2 98, 30, 473
49, 15, 473

∴ So the LCM of the given numbers is 2 x 49 x 15 x 473 = 695310

Least Common Multiple of 98,30,473 with GCF Formula

Least Common Multiple of 98,30,473 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 98,30,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,30,473) = 1

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

GCF(98,30,473) x common factors =1 x 2 = 2

LCM(98,30,473) = ( 98 × 30 × 473 ) / 2

LCM(98,30,473) = 1390620 / 2

LCM(98,30,473) = 695310


Lets's calculate GCF of 59,670,827

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 695310/1

Therefore the LCM of Fractions 98/59,30/670,473/827 is 695310

Greatest Common Factor of 59,670,827 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,670,827 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Greatest Common Factor

We found the factors 59,670,827 . The biggest common factor number is the GCF number.
So the greatest common factor 59,670,827 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 98/59, 30/670, 473/827

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 98/59, 30/670, 473/827?

Answer: LCM of Numerators as per given numbers 98/59, 30/670, 473/827 is

LCM of Numerators i.e. for 98,30,473 is 695310

GCF of denominators i.e. for 59,670,827 is 1.

Thus, LCM of Fractions is 695310.Finally, LCM of Fractions for 98/59, 30/670, 473/827 is 695310.