Least Common Multiple of 670/34, 353/47, 691/775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 670/34, 353/47, 691/775 quickly i.e. 163428410 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 670/34, 353/47, 691/775 is 163428410.

LCM(670/34, 353/47, 691/775) = 163428410

LCM of 670/34, 353/47, 691/775

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 670/34,353/47,691/775

Given numbers are 670/34,353/47,691/775

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 670,353,691

Least Common Multiple of Numerators i.e. LCM of 670,353,691 is 163428410.

GCF of Denominators means GCF of 34,47,775 as per the given fractions.

GCF of 34,47,775 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 670,353,691

LCM of Fractions 670/34,353/47,691/775 is 163428410

Given numbers has no common factors except 1. So, there LCM is their product i.e 163428410

Least Common Multiple of 670,353,691 with GCF Formula

Least Common Multiple of 670,353,691 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 670,353,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(670,353,691) = 1

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

GCF(670,353,691) x common factors =1 x 1 = 1

LCM(670,353,691) = ( 670 × 353 × 691 ) / 1

LCM(670,353,691) = 163428410 / 1

LCM(670,353,691) = 163428410


Lets's calculate GCF of 34,47,775

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 163428410/1

Therefore the LCM of Fractions 670/34,353/47,691/775 is 163428410

Greatest Common Factor of 34,47,775 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,47,775 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Greatest Common Factor

We found the factors 34,47,775 . The biggest common factor number is the GCF number.
So the greatest common factor 34,47,775 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 670/34, 353/47, 691/775

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 670/34, 353/47, 691/775?

Answer: LCM of Numerators as per given numbers 670/34, 353/47, 691/775 is

LCM of Numerators i.e. for 670,353,691 is 163428410

GCF of denominators i.e. for 34,47,775 is 1.

Thus, LCM of Fractions is 163428410.Finally, LCM of Fractions for 670/34, 353/47, 691/775 is 163428410.