Least Common Multiple of 85/717, 346/133, 376/570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/717, 346/133, 376/570 quickly i.e. 5529080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/717, 346/133, 376/570 is 5529080.

LCM(85/717, 346/133, 376/570) = 5529080

LCM of 85/717, 346/133, 376/570

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 85/717,346/133,376/570

Given numbers are 85/717,346/133,376/570

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 85,346,376

Least Common Multiple of Numerators i.e. LCM of 85,346,376 is 5529080.

GCF of Denominators means GCF of 717,133,570 as per the given fractions.

GCF of 717,133,570 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,346,376

LCM of Fractions 85/717,346/133,376/570 is 5529080

2 85, 346, 376
85, 173, 188

∴ So the LCM of the given numbers is 2 x 85 x 173 x 188 = 5529080

Least Common Multiple of 85,346,376 with GCF Formula

Least Common Multiple of 85,346,376 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 85,346,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,346,376) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(85,346,376) x common factors =1 x 2 = 2

LCM(85,346,376) = ( 85 × 346 × 376 ) / 2

LCM(85,346,376) = 11058160 / 2

LCM(85,346,376) = 5529080


Lets's calculate GCF of 717,133,570

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5529080/1

Therefore the LCM of Fractions 85/717,346/133,376/570 is 5529080

Greatest Common Factor of 717,133,570 By Matching Biggest Common Factor Method

Greatest Common Factor of 717,133,570 By Matching Biggest Common Factor Method

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Greatest Common Factor

We found the factors 717,133,570 . The biggest common factor number is the GCF number.
So the greatest common factor 717,133,570 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 85/717, 346/133, 376/570

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 85/717, 346/133, 376/570?

Answer: LCM of Numerators as per given numbers 85/717, 346/133, 376/570 is

LCM of Numerators i.e. for 85,346,376 is 5529080

GCF of denominators i.e. for 717,133,570 is 1.

Thus, LCM of Fractions is 5529080.Finally, LCM of Fractions for 85/717, 346/133, 376/570 is 5529080.