Least Common Multiple of 99/607, 35/240, 282/210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/607, 35/240, 282/210 quickly i.e. 325710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/607, 35/240, 282/210 is 325710.

LCM(99/607, 35/240, 282/210) = 325710

LCM of 99/607, 35/240, 282/210

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 99/607,35/240,282/210

Given numbers are 99/607,35/240,282/210

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 99,35,282

Least Common Multiple of Numerators i.e. LCM of 99,35,282 is 325710.

GCF of Denominators means GCF of 607,240,210 as per the given fractions.

GCF of 607,240,210 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,35,282

LCM of Fractions 99/607,35/240,282/210 is 325710

3 99, 35, 282
33, 35, 94

∴ So the LCM of the given numbers is 3 x 33 x 35 x 94 = 325710

Least Common Multiple of 99,35,282 with GCF Formula

Least Common Multiple of 99,35,282 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 99,35,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,35,282) = 1

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

GCF(99,35,282) x common factors =1 x 3 = 3

LCM(99,35,282) = ( 99 × 35 × 282 ) / 3

LCM(99,35,282) = 977130 / 3

LCM(99,35,282) = 325710


Lets's calculate GCF of 607,240,210

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 325710/1

Therefore the LCM of Fractions 99/607,35/240,282/210 is 325710

Greatest Common Factor of 607,240,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 607,240,210 By Matching Biggest Common Factor Method

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 210

List of positive integer factors of 210 that divides 210 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 607,240,210 . The biggest common factor number is the GCF number.
So the greatest common factor 607,240,210 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 99/607, 35/240, 282/210

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 99/607, 35/240, 282/210?

Answer: LCM of Numerators as per given numbers 99/607, 35/240, 282/210 is

LCM of Numerators i.e. for 99,35,282 is 325710

GCF of denominators i.e. for 607,240,210 is 1.

Thus, LCM of Fractions is 325710.Finally, LCM of Fractions for 99/607, 35/240, 282/210 is 325710.