Least Common Multiple of 49/400, 905/852, 786/343

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/400, 905/852, 786/343 quickly i.e. 34855170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/400, 905/852, 786/343 is 34855170.

LCM(49/400, 905/852, 786/343) = 34855170

LCM of 49/400, 905/852, 786/343

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 49/400,905/852,786/343

Given numbers are 49/400,905/852,786/343

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 49,905,786

Least Common Multiple of Numerators i.e. LCM of 49,905,786 is 34855170.

GCF of Denominators means GCF of 400,852,343 as per the given fractions.

GCF of 400,852,343 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,905,786

LCM of Fractions 49/400,905/852,786/343 is 34855170

Given numbers has no common factors except 1. So, there LCM is their product i.e 34855170

Least Common Multiple of 49,905,786 with GCF Formula

Least Common Multiple of 49,905,786 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 49,905,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,905,786) = 1

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

GCF(49,905,786) x common factors =1 x 1 = 1

LCM(49,905,786) = ( 49 × 905 × 786 ) / 1

LCM(49,905,786) = 34855170 / 1

LCM(49,905,786) = 34855170


Lets's calculate GCF of 400,852,343

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34855170/1

Therefore the LCM of Fractions 49/400,905/852,786/343 is 34855170

Greatest Common Factor of 400,852,343 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,852,343 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Greatest Common Factor

We found the factors 400,852,343 . The biggest common factor number is the GCF number.
So the greatest common factor 400,852,343 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 49/400, 905/852, 786/343

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 49/400, 905/852, 786/343?

Answer: LCM of Numerators as per given numbers 49/400, 905/852, 786/343 is

LCM of Numerators i.e. for 49,905,786 is 34855170

GCF of denominators i.e. for 400,852,343 is 1.

Thus, LCM of Fractions is 34855170.Finally, LCM of Fractions for 49/400, 905/852, 786/343 is 34855170.