Least Common Multiple of 680/402, 458/405, 175/877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 680/402, 458/405, 175/877 quickly i.e. 5450200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 680/402, 458/405, 175/877 is 5450200.

LCM(680/402, 458/405, 175/877) = 5450200

LCM of 680/402, 458/405, 175/877

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 680/402,458/405,175/877

Given numbers are 680/402,458/405,175/877

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 680,458,175

Least Common Multiple of Numerators i.e. LCM of 680,458,175 is 5450200.

GCF of Denominators means GCF of 402,405,877 as per the given fractions.

GCF of 402,405,877 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 680,458,175

LCM of Fractions 680/402,458/405,175/877 is 5450200

2 680, 458, 175
5 340, 229, 175
68, 229, 35

∴ So the LCM of the given numbers is 2 x 5 x 68 x 229 x 35 = 5450200

Least Common Multiple of 680,458,175 with GCF Formula

Least Common Multiple of 680,458,175 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 680,458,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,458,175) = 1

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

GCF(680,458,175) x common factors =1 x 10 = 10

LCM(680,458,175) = ( 680 × 458 × 175 ) / 10

LCM(680,458,175) = 54502000 / 10

LCM(680,458,175) = 5450200


Lets's calculate GCF of 402,405,877

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5450200/1

Therefore the LCM of Fractions 680/402,458/405,175/877 is 5450200

Greatest Common Factor of 402,405,877 By Matching Biggest Common Factor Method

Greatest Common Factor of 402,405,877 By Matching Biggest Common Factor Method

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1,877

Greatest Common Factor

We found the factors 402,405,877 . The biggest common factor number is the GCF number.
So the greatest common factor 402,405,877 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 680/402, 458/405, 175/877

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 680/402, 458/405, 175/877?

Answer: LCM of Numerators as per given numbers 680/402, 458/405, 175/877 is

LCM of Numerators i.e. for 680,458,175 is 5450200

GCF of denominators i.e. for 402,405,877 is 1.

Thus, LCM of Fractions is 5450200.Finally, LCM of Fractions for 680/402, 458/405, 175/877 is 5450200.