Least Common Multiple of 362/90, 429/69, 735/98

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 362/90, 429/69, 735/98 quickly i.e. 38048010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 362/90, 429/69, 735/98 is 38048010.

LCM(362/90, 429/69, 735/98) = 38048010

LCM of 362/90, 429/69, 735/98

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 362/90,429/69,735/98

Given numbers are 362/90,429/69,735/98

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 362,429,735

Least Common Multiple of Numerators i.e. LCM of 362,429,735 is 38048010.

GCF of Denominators means GCF of 90,69,98 as per the given fractions.

GCF of 90,69,98 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 362,429,735

LCM of Fractions 362/90,429/69,735/98 is 38048010

3 362, 429, 735
362, 143, 245

∴ So the LCM of the given numbers is 3 x 362 x 143 x 245 = 38048010

Least Common Multiple of 362,429,735 with GCF Formula

Least Common Multiple of 362,429,735 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 362,429,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,429,735) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(362,429,735) x common factors =1 x 3 = 3

LCM(362,429,735) = ( 362 × 429 × 735 ) / 3

LCM(362,429,735) = 114144030 / 3

LCM(362,429,735) = 38048010


Lets's calculate GCF of 90,69,98

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38048010/1

Therefore the LCM of Fractions 362/90,429/69,735/98 is 38048010

Greatest Common Factor of 90,69,98 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,69,98 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Greatest Common Factor

We found the factors 90,69,98 . The biggest common factor number is the GCF number.
So the greatest common factor 90,69,98 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 362/90, 429/69, 735/98

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 362/90, 429/69, 735/98?

Answer: LCM of Numerators as per given numbers 362/90, 429/69, 735/98 is

LCM of Numerators i.e. for 362,429,735 is 38048010

GCF of denominators i.e. for 90,69,98 is 1.

Thus, LCM of Fractions is 38048010.Finally, LCM of Fractions for 362/90, 429/69, 735/98 is 38048010.