Least Common Multiple of 50/697, 76/833, 735/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 50/697, 76/833, 735/280 quickly i.e. 279300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 50/697, 76/833, 735/280 is 279300.

LCM(50/697, 76/833, 735/280) = 279300

LCM of 50/697, 76/833, 735/280

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 50/697,76/833,735/280

Given numbers are 50/697,76/833,735/280

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 50,76,735

Least Common Multiple of Numerators i.e. LCM of 50,76,735 is 279300.

GCF of Denominators means GCF of 697,833,280 as per the given fractions.

GCF of 697,833,280 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 50,76,735

LCM of Fractions 50/697,76/833,735/280 is 279300

2 50, 76, 735
5 25, 38, 735
5, 38, 147

∴ So the LCM of the given numbers is 2 x 5 x 5 x 38 x 147 = 279300

Least Common Multiple of 50,76,735 with GCF Formula

Least Common Multiple of 50,76,735 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 50,76,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,76,735) = 1

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

GCF(50,76,735) x common factors =1 x 10 = 10

LCM(50,76,735) = ( 50 × 76 × 735 ) / 10

LCM(50,76,735) = 2793000 / 10

LCM(50,76,735) = 279300


Lets's calculate GCF of 697,833,280

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 279300/1

Therefore the LCM of Fractions 50/697,76/833,735/280 is 279300

Greatest Common Factor of 697,833,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 697,833,280 By Matching Biggest Common Factor Method

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 697,833,280 . The biggest common factor number is the GCF number.
So the greatest common factor 697,833,280 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 50/697, 76/833, 735/280

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 50/697, 76/833, 735/280?

Answer: LCM of Numerators as per given numbers 50/697, 76/833, 735/280 is

LCM of Numerators i.e. for 50,76,735 is 279300

GCF of denominators i.e. for 697,833,280 is 1.

Thus, LCM of Fractions is 279300.Finally, LCM of Fractions for 50/697, 76/833, 735/280 is 279300.