Least Common Multiple of 1955/266, 9982/735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1955/266, 9982/735 quickly i.e. 121210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1955/266, 9982/735 is 121210.

LCM(1955/266, 9982/735) = 121210

LCM of 1955/266, 9982/735

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 1955/266,9982/735

Given numbers are 1955/266,9982/735

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 1955,9982

Least Common Multiple of Numerators i.e. LCM of 1955,9982 is 848470.

GCF of Denominators means GCF of 266,735 as per the given fractions.

GCF of 266,735 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1955,9982

LCM of Fractions 1955/266,9982/735 is 121210

23 1955, 9982
85, 434

∴ So the LCM of the given numbers is 23 x 85 x 434 = 848470

Least Common Multiple of 1955,9982 with GCF Formula

Least Common Multiple of 1955,9982 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 1955,9982 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1955,9982) = 23

common factors(in case of two or more numbers have common factors) = 1

GCF(1955,9982) x common factors =23 x 1 = 23

LCM(1955,9982) = ( 1955 × 9982 ) / 23

LCM(1955,9982) = 19514810 / 23

LCM(1955,9982) = 848470


Lets's calculate GCF of 266,735

7 266, 735
38, 105

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 848470/7

Therefore the LCM of Fractions 1955/266,9982/735 is 121210

Greatest Common Factor of 266,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,735 By Matching Biggest Common Factor Method

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 266,735 . The biggest common factor number is the GCF number.
So the greatest common factor 266,735 is 7.


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 1955/266, 9982/735

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 1955/266, 9982/735?

Answer: LCM of Numerators as per given numbers 1955/266, 9982/735 is

LCM of Numerators i.e. for 1955,9982 is 848470

GCF of denominators i.e. for 266,735 is 7.

Thus, LCM of Fractions is 121210.Finally, LCM of Fractions for 1955/266, 9982/735 is 121210.