Least Common Multiple of 448/980, 464/516, 435/247

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 448/980, 464/516, 435/247 quickly i.e. 194880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 448/980, 464/516, 435/247 is 194880.

LCM(448/980, 464/516, 435/247) = 194880

LCM of 448/980, 464/516, 435/247

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 448/980,464/516,435/247

Given numbers are 448/980,464/516,435/247

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 448,464,435

Least Common Multiple of Numerators i.e. LCM of 448,464,435 is 194880.

GCF of Denominators means GCF of 980,516,247 as per the given fractions.

GCF of 980,516,247 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 448,464,435

LCM of Fractions 448/980,464/516,435/247 is 194880

2 448, 464, 435
2 224, 232, 435
2 112, 116, 435
2 56, 58, 435
29 28, 29, 435
28, 1, 15

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 29 x 28 x 1 x 15 = 194880

Least Common Multiple of 448,464,435 with GCF Formula

Least Common Multiple of 448,464,435 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 448,464,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,464,435) = 1

common factors(in case of two or more numbers have common factors) = 464

GCF(448,464,435) x common factors =1 x 464 = 464

LCM(448,464,435) = ( 448 × 464 × 435 ) / 464

LCM(448,464,435) = 90424320 / 464

LCM(448,464,435) = 194880


Lets's calculate GCF of 980,516,247

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 194880/1

Therefore the LCM of Fractions 448/980,464/516,435/247 is 194880

Greatest Common Factor of 980,516,247 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,516,247 By Matching Biggest Common Factor Method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 516

List of positive integer factors of 516 that divides 516 without a remainder.

1,2,3,4,6,12,43,86,129,172,258,516

Factors of 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Greatest Common Factor

We found the factors 980,516,247 . The biggest common factor number is the GCF number.
So the greatest common factor 980,516,247 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 448/980, 464/516, 435/247

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 448/980, 464/516, 435/247?

Answer: LCM of Numerators as per given numbers 448/980, 464/516, 435/247 is

LCM of Numerators i.e. for 448,464,435 is 194880

GCF of denominators i.e. for 980,516,247 is 1.

Thus, LCM of Fractions is 194880.Finally, LCM of Fractions for 448/980, 464/516, 435/247 is 194880.