Least Common Multiple of 35/975, 266/90, 318/750

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/975, 266/90, 318/750 quickly i.e. 14098 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/975, 266/90, 318/750 is 14098.

LCM(35/975, 266/90, 318/750) = 14098

LCM of 35/975, 266/90, 318/750

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 35/975,266/90,318/750

Given numbers are 35/975,266/90,318/750

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 35,266,318

Least Common Multiple of Numerators i.e. LCM of 35,266,318 is 211470.

GCF of Denominators means GCF of 975,90,750 as per the given fractions.

GCF of 975,90,750 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,266,318

LCM of Fractions 35/975,266/90,318/750 is 14098

2 35, 266, 318
7 35, 133, 159
5, 19, 159

∴ So the LCM of the given numbers is 2 x 7 x 5 x 19 x 159 = 211470

Least Common Multiple of 35,266,318 with GCF Formula

Least Common Multiple of 35,266,318 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 35,266,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,266,318) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(35,266,318) x common factors =1 x 14 = 14

LCM(35,266,318) = ( 35 × 266 × 318 ) / 14

LCM(35,266,318) = 2960580 / 14

LCM(35,266,318) = 211470


Lets's calculate GCF of 975,90,750

3 975, 90, 750
5 325, 30, 250
65, 6, 50

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 211470/15

Therefore the LCM of Fractions 35/975,266/90,318/750 is 14098

Greatest Common Factor of 975,90,750 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,90,750 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

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 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Greatest Common Factor

We found the factors 975,90,750 . The biggest common factor number is the GCF number.
So the greatest common factor 975,90,750 is 15.


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 35/975, 266/90, 318/750

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 35/975, 266/90, 318/750?

Answer: LCM of Numerators as per given numbers 35/975, 266/90, 318/750 is

LCM of Numerators i.e. for 35,266,318 is 211470

GCF of denominators i.e. for 975,90,750 is 15.

Thus, LCM of Fractions is 14098.Finally, LCM of Fractions for 35/975, 266/90, 318/750 is 14098.