Least Common Multiple of 62/58, 70/60, 90/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 62/58, 70/60, 90/735 quickly i.e. 19530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 62/58, 70/60, 90/735 is 19530.

LCM(62/58, 70/60, 90/735) = 19530

LCM of 62/58, 70/60, 90/735

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 62/58,70/60,90/735

Given numbers are 62/58,70/60,90/735

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 62,70,90

Least Common Multiple of Numerators i.e. LCM of 62,70,90 is 19530.

GCF of Denominators means GCF of 58,60,735 as per the given fractions.

GCF of 58,60,735 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 62,70,90

LCM of Fractions 62/58,70/60,90/735 is 19530

2 62, 70, 90
5 31, 35, 45
31, 7, 9

∴ So the LCM of the given numbers is 2 x 5 x 31 x 7 x 9 = 19530

Least Common Multiple of 62,70,90 with GCF Formula

Least Common Multiple of 62,70,90 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 62,70,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,70,90) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(62,70,90) x common factors =2 x 10 = 20

LCM(62,70,90) = ( 62 × 70 × 90 ) / 20

LCM(62,70,90) = 390600 / 20

LCM(62,70,90) = 19530


Lets's calculate GCF of 58,60,735

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19530/1

Therefore the LCM of Fractions 62/58,70/60,90/735 is 19530

Greatest Common Factor of 58,60,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,60,735 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 58,60,735 . The biggest common factor number is the GCF number.
So the greatest common factor 58,60,735 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 62/58, 70/60, 90/735

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 62/58, 70/60, 90/735?

Answer: LCM of Numerators as per given numbers 62/58, 70/60, 90/735 is

LCM of Numerators i.e. for 62,70,90 is 19530

GCF of denominators i.e. for 58,60,735 is 1.

Thus, LCM of Fractions is 19530.Finally, LCM of Fractions for 62/58, 70/60, 90/735 is 19530.