Least Common Multiple of 703/242, 580/653, 670/902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 703/242, 580/653, 670/902 quickly i.e. 27318580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 703/242, 580/653, 670/902 is 27318580.

LCM(703/242, 580/653, 670/902) = 27318580

LCM of 703/242, 580/653, 670/902

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 703/242,580/653,670/902

Given numbers are 703/242,580/653,670/902

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 703,580,670

Least Common Multiple of Numerators i.e. LCM of 703,580,670 is 27318580.

GCF of Denominators means GCF of 242,653,902 as per the given fractions.

GCF of 242,653,902 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 703,580,670

LCM of Fractions 703/242,580/653,670/902 is 27318580

2 703, 580, 670
5 703, 290, 335
703, 58, 67

∴ So the LCM of the given numbers is 2 x 5 x 703 x 58 x 67 = 27318580

Least Common Multiple of 703,580,670 with GCF Formula

Least Common Multiple of 703,580,670 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 703,580,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(703,580,670) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(703,580,670) x common factors =1 x 10 = 10

LCM(703,580,670) = ( 703 × 580 × 670 ) / 10

LCM(703,580,670) = 273185800 / 10

LCM(703,580,670) = 27318580


Lets's calculate GCF of 242,653,902

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27318580/1

Therefore the LCM of Fractions 703/242,580/653,670/902 is 27318580

Greatest Common Factor of 242,653,902 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,653,902 By Matching Biggest Common Factor Method

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Greatest Common Factor

We found the factors 242,653,902 . The biggest common factor number is the GCF number.
So the greatest common factor 242,653,902 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 703/242, 580/653, 670/902

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 703/242, 580/653, 670/902?

Answer: LCM of Numerators as per given numbers 703/242, 580/653, 670/902 is

LCM of Numerators i.e. for 703,580,670 is 27318580

GCF of denominators i.e. for 242,653,902 is 1.

Thus, LCM of Fractions is 27318580.Finally, LCM of Fractions for 703/242, 580/653, 670/902 is 27318580.