Least Common Multiple of 2177/175, 6769/350

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2177/175, 6769/350 quickly i.e. 2105159/175 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2177/175, 6769/350 is 2105159/175.

LCM(2177/175, 6769/350) = 2105159/175

LCM of 2177/175, 6769/350

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 2177/175,6769/350

Given numbers are 2177/175,6769/350

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 2177,6769

Least Common Multiple of Numerators i.e. LCM of 2177,6769 is 2105159.

GCF of Denominators means GCF of 175,350 as per the given fractions.

GCF of 175,350 is 175 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2177,6769

LCM of Fractions 2177/175,6769/350 is 2105159/175

7 2177, 6769
311, 967

∴ So the LCM of the given numbers is 7 x 311 x 967 = 2105159

Least Common Multiple of 2177,6769 with GCF Formula

Least Common Multiple of 2177,6769 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 2177,6769 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2177,6769) = 7

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

GCF(2177,6769) x common factors =7 x 1 = 7

LCM(2177,6769) = ( 2177 × 6769 ) / 7

LCM(2177,6769) = 14736113 / 7

LCM(2177,6769) = 2105159


Lets's calculate GCF of 175,350

5 175, 350
5 35, 70
7 7, 14
1, 2

∴ So the GCF of the given numbers is 5 x 5 x 7 = 175

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2105159/175

Therefore the LCM of Fractions 2177/175,6769/350 is 2105159/175

Greatest Common Factor of 175,350 By Matching Biggest Common Factor Method

Greatest Common Factor of 175,350 By Matching Biggest Common Factor Method

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Greatest Common Factor

We found the factors 175,350 . The biggest common factor number is the GCF number.
So the greatest common factor 175,350 is 175.


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 2177/175, 6769/350

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 2177/175, 6769/350?

Answer: LCM of Numerators as per given numbers 2177/175, 6769/350 is

LCM of Numerators i.e. for 2177,6769 is 2105159

GCF of denominators i.e. for 175,350 is 175.

Thus, LCM of Fractions is 2105159/175.Finally, LCM of Fractions for 2177/175, 6769/350 is 2105159/175.