Least Common Multiple of 45/702, 434/569, 835/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/702, 434/569, 835/710 quickly i.e. 3261510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/702, 434/569, 835/710 is 3261510.

LCM(45/702, 434/569, 835/710) = 3261510

LCM of 45/702, 434/569, 835/710

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 45/702,434/569,835/710

Given numbers are 45/702,434/569,835/710

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 45,434,835

Least Common Multiple of Numerators i.e. LCM of 45,434,835 is 3261510.

GCF of Denominators means GCF of 702,569,710 as per the given fractions.

GCF of 702,569,710 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,434,835

LCM of Fractions 45/702,434/569,835/710 is 3261510

5 45, 434, 835
9, 434, 167

∴ So the LCM of the given numbers is 5 x 9 x 434 x 167 = 3261510

Least Common Multiple of 45,434,835 with GCF Formula

Least Common Multiple of 45,434,835 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 45,434,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,434,835) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(45,434,835) x common factors =1 x 5 = 5

LCM(45,434,835) = ( 45 × 434 × 835 ) / 5

LCM(45,434,835) = 16307550 / 5

LCM(45,434,835) = 3261510


Lets's calculate GCF of 702,569,710

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3261510/1

Therefore the LCM of Fractions 45/702,434/569,835/710 is 3261510

Greatest Common Factor of 702,569,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 702,569,710 By Matching Biggest Common Factor Method

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 702,569,710 . The biggest common factor number is the GCF number.
So the greatest common factor 702,569,710 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 45/702, 434/569, 835/710

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 45/702, 434/569, 835/710?

Answer: LCM of Numerators as per given numbers 45/702, 434/569, 835/710 is

LCM of Numerators i.e. for 45,434,835 is 3261510

GCF of denominators i.e. for 702,569,710 is 1.

Thus, LCM of Fractions is 3261510.Finally, LCM of Fractions for 45/702, 434/569, 835/710 is 3261510.