Least Common Multiple of 707/975, 896/197, 498/159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 707/975, 896/197, 498/159 quickly i.e. 22533504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 707/975, 896/197, 498/159 is 22533504.

LCM(707/975, 896/197, 498/159) = 22533504

LCM of 707/975, 896/197, 498/159

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 707/975,896/197,498/159

Given numbers are 707/975,896/197,498/159

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 707,896,498

Least Common Multiple of Numerators i.e. LCM of 707,896,498 is 22533504.

GCF of Denominators means GCF of 975,197,159 as per the given fractions.

GCF of 975,197,159 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 707,896,498

LCM of Fractions 707/975,896/197,498/159 is 22533504

2 707, 896, 498
7 707, 448, 249
101, 64, 249

∴ So the LCM of the given numbers is 2 x 7 x 101 x 64 x 249 = 22533504

Least Common Multiple of 707,896,498 with GCF Formula

Least Common Multiple of 707,896,498 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 707,896,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(707,896,498) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(707,896,498) x common factors =1 x 14 = 14

LCM(707,896,498) = ( 707 × 896 × 498 ) / 14

LCM(707,896,498) = 315469056 / 14

LCM(707,896,498) = 22533504


Lets's calculate GCF of 975,197,159

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22533504/1

Therefore the LCM of Fractions 707/975,896/197,498/159 is 22533504

Greatest Common Factor of 975,197,159 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,197,159 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 197

List of positive integer factors of 197 that divides 197 without a remainder.

1,197

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Greatest Common Factor

We found the factors 975,197,159 . The biggest common factor number is the GCF number.
So the greatest common factor 975,197,159 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 707/975, 896/197, 498/159

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 707/975, 896/197, 498/159?

Answer: LCM of Numerators as per given numbers 707/975, 896/197, 498/159 is

LCM of Numerators i.e. for 707,896,498 is 22533504

GCF of denominators i.e. for 975,197,159 is 1.

Thus, LCM of Fractions is 22533504.Finally, LCM of Fractions for 707/975, 896/197, 498/159 is 22533504.