Least Common Multiple of 34/36, 217/85, 562/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/36, 217/85, 562/702 quickly i.e. 2073218 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/36, 217/85, 562/702 is 2073218.

LCM(34/36, 217/85, 562/702) = 2073218

LCM of 34/36, 217/85, 562/702

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 34/36,217/85,562/702

Given numbers are 34/36,217/85,562/702

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 34,217,562

Least Common Multiple of Numerators i.e. LCM of 34,217,562 is 2073218.

GCF of Denominators means GCF of 36,85,702 as per the given fractions.

GCF of 36,85,702 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,217,562

LCM of Fractions 34/36,217/85,562/702 is 2073218

2 34, 217, 562
17, 217, 281

∴ So the LCM of the given numbers is 2 x 17 x 217 x 281 = 2073218

Least Common Multiple of 34,217,562 with GCF Formula

Least Common Multiple of 34,217,562 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 34,217,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,217,562) = 1

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

GCF(34,217,562) x common factors =1 x 2 = 2

LCM(34,217,562) = ( 34 × 217 × 562 ) / 2

LCM(34,217,562) = 4146436 / 2

LCM(34,217,562) = 2073218


Lets's calculate GCF of 36,85,702

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2073218/1

Therefore the LCM of Fractions 34/36,217/85,562/702 is 2073218

Greatest Common Factor of 36,85,702 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,85,702 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

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

Greatest Common Factor

We found the factors 36,85,702 . The biggest common factor number is the GCF number.
So the greatest common factor 36,85,702 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 34/36, 217/85, 562/702

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 34/36, 217/85, 562/702?

Answer: LCM of Numerators as per given numbers 34/36, 217/85, 562/702 is

LCM of Numerators i.e. for 34,217,562 is 2073218

GCF of denominators i.e. for 36,85,702 is 1.

Thus, LCM of Fractions is 2073218.Finally, LCM of Fractions for 34/36, 217/85, 562/702 is 2073218.