Least Common Multiple of 29/707, 78/194, 202/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/707, 78/194, 202/640 quickly i.e. 228462 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/707, 78/194, 202/640 is 228462.

LCM(29/707, 78/194, 202/640) = 228462

LCM of 29/707, 78/194, 202/640

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 29/707,78/194,202/640

Given numbers are 29/707,78/194,202/640

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 29,78,202

Least Common Multiple of Numerators i.e. LCM of 29,78,202 is 228462.

GCF of Denominators means GCF of 707,194,640 as per the given fractions.

GCF of 707,194,640 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,78,202

LCM of Fractions 29/707,78/194,202/640 is 228462

2 29, 78, 202
29, 39, 101

∴ So the LCM of the given numbers is 2 x 29 x 39 x 101 = 228462

Least Common Multiple of 29,78,202 with GCF Formula

Least Common Multiple of 29,78,202 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 29,78,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,78,202) = 1

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

GCF(29,78,202) x common factors =1 x 2 = 2

LCM(29,78,202) = ( 29 × 78 × 202 ) / 2

LCM(29,78,202) = 456924 / 2

LCM(29,78,202) = 228462


Lets's calculate GCF of 707,194,640

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 228462/1

Therefore the LCM of Fractions 29/707,78/194,202/640 is 228462

Greatest Common Factor of 707,194,640 By Matching Biggest Common Factor Method

Greatest Common Factor of 707,194,640 By Matching Biggest Common Factor Method

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 194

List of positive integer factors of 194 that divides 194 without a remainder.

1,2,97,194

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Greatest Common Factor

We found the factors 707,194,640 . The biggest common factor number is the GCF number.
So the greatest common factor 707,194,640 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 29/707, 78/194, 202/640

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 29/707, 78/194, 202/640?

Answer: LCM of Numerators as per given numbers 29/707, 78/194, 202/640 is

LCM of Numerators i.e. for 29,78,202 is 228462

GCF of denominators i.e. for 707,194,640 is 1.

Thus, LCM of Fractions is 228462.Finally, LCM of Fractions for 29/707, 78/194, 202/640 is 228462.