Least Common Multiple of 10/350, 49/697, 735/817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/350, 49/697, 735/817 quickly i.e. 1470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/350, 49/697, 735/817 is 1470.

LCM(10/350, 49/697, 735/817) = 1470

LCM of 10/350, 49/697, 735/817

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 10/350,49/697,735/817

Given numbers are 10/350,49/697,735/817

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 10,49,735

Least Common Multiple of Numerators i.e. LCM of 10,49,735 is 1470.

GCF of Denominators means GCF of 350,697,817 as per the given fractions.

GCF of 350,697,817 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,49,735

LCM of Fractions 10/350,49/697,735/817 is 1470

5 10, 49, 735
7 2, 49, 147
7 2, 7, 21
2, 1, 3

∴ So the LCM of the given numbers is 5 x 7 x 7 x 2 x 1 x 3 = 1470

Least Common Multiple of 10,49,735 with GCF Formula

Least Common Multiple of 10,49,735 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 10,49,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,49,735) = 1

common factors(in case of two or more numbers have common factors) = 245

GCF(10,49,735) x common factors =1 x 245 = 245

LCM(10,49,735) = ( 10 × 49 × 735 ) / 245

LCM(10,49,735) = 360150 / 245

LCM(10,49,735) = 1470


Lets's calculate GCF of 350,697,817

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1470/1

Therefore the LCM of Fractions 10/350,49/697,735/817 is 1470

Greatest Common Factor of 350,697,817 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,697,817 By Matching Biggest Common Factor Method

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 697

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

1,17,41,697

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Greatest Common Factor

We found the factors 350,697,817 . The biggest common factor number is the GCF number.
So the greatest common factor 350,697,817 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 10/350, 49/697, 735/817

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 10/350, 49/697, 735/817?

Answer: LCM of Numerators as per given numbers 10/350, 49/697, 735/817 is

LCM of Numerators i.e. for 10,49,735 is 1470

GCF of denominators i.e. for 350,697,817 is 1.

Thus, LCM of Fractions is 1470.Finally, LCM of Fractions for 10/350, 49/697, 735/817 is 1470.