Least Common Multiple of 77/698, 530/469, 489/317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/698, 530/469, 489/317 quickly i.e. 19956090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/698, 530/469, 489/317 is 19956090.

LCM(77/698, 530/469, 489/317) = 19956090

LCM of 77/698, 530/469, 489/317

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 77/698,530/469,489/317

Given numbers are 77/698,530/469,489/317

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 77,530,489

Least Common Multiple of Numerators i.e. LCM of 77,530,489 is 19956090.

GCF of Denominators means GCF of 698,469,317 as per the given fractions.

GCF of 698,469,317 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,530,489

LCM of Fractions 77/698,530/469,489/317 is 19956090

Given numbers has no common factors except 1. So, there LCM is their product i.e 19956090

Least Common Multiple of 77,530,489 with GCF Formula

Least Common Multiple of 77,530,489 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 77,530,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,530,489) = 1

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

GCF(77,530,489) x common factors =1 x 1 = 1

LCM(77,530,489) = ( 77 × 530 × 489 ) / 1

LCM(77,530,489) = 19956090 / 1

LCM(77,530,489) = 19956090


Lets's calculate GCF of 698,469,317

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19956090/1

Therefore the LCM of Fractions 77/698,530/469,489/317 is 19956090

Greatest Common Factor of 698,469,317 By Matching Biggest Common Factor Method

Greatest Common Factor of 698,469,317 By Matching Biggest Common Factor Method

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Greatest Common Factor

We found the factors 698,469,317 . The biggest common factor number is the GCF number.
So the greatest common factor 698,469,317 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 77/698, 530/469, 489/317

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 77/698, 530/469, 489/317?

Answer: LCM of Numerators as per given numbers 77/698, 530/469, 489/317 is

LCM of Numerators i.e. for 77,530,489 is 19956090

GCF of denominators i.e. for 698,469,317 is 1.

Thus, LCM of Fractions is 19956090.Finally, LCM of Fractions for 77/698, 530/469, 489/317 is 19956090.