Least Common Multiple of 29/62, 70/84, 290/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/62, 70/84, 290/675 quickly i.e. 2030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/62, 70/84, 290/675 is 2030.

LCM(29/62, 70/84, 290/675) = 2030

LCM of 29/62, 70/84, 290/675

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 29/62,70/84,290/675

Given numbers are 29/62,70/84,290/675

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 29,70,290

Least Common Multiple of Numerators i.e. LCM of 29,70,290 is 2030.

GCF of Denominators means GCF of 62,84,675 as per the given fractions.

GCF of 62,84,675 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,70,290

LCM of Fractions 29/62,70/84,290/675 is 2030

2 29, 70, 290
5 29, 35, 145
29 29, 7, 29
1, 7, 1

∴ So the LCM of the given numbers is 2 x 5 x 29 x 1 x 7 x 1 = 2030

Least Common Multiple of 29,70,290 with GCF Formula

Least Common Multiple of 29,70,290 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 29,70,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,70,290) = 1

common factors(in case of two or more numbers have common factors) = 290

GCF(29,70,290) x common factors =1 x 290 = 290

LCM(29,70,290) = ( 29 × 70 × 290 ) / 290

LCM(29,70,290) = 588700 / 290

LCM(29,70,290) = 2030


Lets's calculate GCF of 62,84,675

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2030/1

Therefore the LCM of Fractions 29/62,70/84,290/675 is 2030

Greatest Common Factor of 62,84,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,84,675 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 62,84,675 . The biggest common factor number is the GCF number.
So the greatest common factor 62,84,675 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 29/62, 70/84, 290/675

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 29/62, 70/84, 290/675?

Answer: LCM of Numerators as per given numbers 29/62, 70/84, 290/675 is

LCM of Numerators i.e. for 29,70,290 is 2030

GCF of denominators i.e. for 62,84,675 is 1.

Thus, LCM of Fractions is 2030.Finally, LCM of Fractions for 29/62, 70/84, 290/675 is 2030.