Least Common Multiple of 17/265, 70/911, 429/349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/265, 70/911, 429/349 quickly i.e. 510510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/265, 70/911, 429/349 is 510510.

LCM(17/265, 70/911, 429/349) = 510510

LCM of 17/265, 70/911, 429/349

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 17/265,70/911,429/349

Given numbers are 17/265,70/911,429/349

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 17,70,429

Least Common Multiple of Numerators i.e. LCM of 17,70,429 is 510510.

GCF of Denominators means GCF of 265,911,349 as per the given fractions.

GCF of 265,911,349 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,70,429

LCM of Fractions 17/265,70/911,429/349 is 510510

Given numbers has no common factors except 1. So, there LCM is their product i.e 510510

Least Common Multiple of 17,70,429 with GCF Formula

Least Common Multiple of 17,70,429 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 17,70,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,70,429) = 1

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

GCF(17,70,429) x common factors =1 x 1 = 1

LCM(17,70,429) = ( 17 × 70 × 429 ) / 1

LCM(17,70,429) = 510510 / 1

LCM(17,70,429) = 510510


Lets's calculate GCF of 265,911,349

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 510510/1

Therefore the LCM of Fractions 17/265,70/911,429/349 is 510510

Greatest Common Factor of 265,911,349 By Matching Biggest Common Factor Method

Greatest Common Factor of 265,911,349 By Matching Biggest Common Factor Method

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 911

List of positive integer factors of 911 that divides 911 without a remainder.

1,911

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Greatest Common Factor

We found the factors 265,911,349 . The biggest common factor number is the GCF number.
So the greatest common factor 265,911,349 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 17/265, 70/911, 429/349

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 17/265, 70/911, 429/349?

Answer: LCM of Numerators as per given numbers 17/265, 70/911, 429/349 is

LCM of Numerators i.e. for 17,70,429 is 510510

GCF of denominators i.e. for 265,911,349 is 1.

Thus, LCM of Fractions is 510510.Finally, LCM of Fractions for 17/265, 70/911, 429/349 is 510510.