Least Common Multiple of 972/306, 9106/9574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 972/306, 9106/9574 quickly i.e. 2212758 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 972/306, 9106/9574 is 2212758.

LCM(972/306, 9106/9574) = 2212758

LCM of 972/306, 9106/9574

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 972/306,9106/9574

Given numbers are 972/306,9106/9574

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 972,9106

Least Common Multiple of Numerators i.e. LCM of 972,9106 is 4425516.

GCF of Denominators means GCF of 306,9574 as per the given fractions.

GCF of 306,9574 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 972,9106

LCM of Fractions 972/306,9106/9574 is 2212758

2 972, 9106
486, 4553

∴ So the LCM of the given numbers is 2 x 486 x 4553 = 4425516

Least Common Multiple of 972,9106 with GCF Formula

Least Common Multiple of 972,9106 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 972,9106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,9106) = 2

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

GCF(972,9106) x common factors =2 x 1 = 2

LCM(972,9106) = ( 972 × 9106 ) / 2

LCM(972,9106) = 8851032 / 2

LCM(972,9106) = 4425516


Lets's calculate GCF of 306,9574

2 306, 9574
153, 4787

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4425516/2

Therefore the LCM of Fractions 972/306,9106/9574 is 2212758

Greatest Common Factor of 306,9574 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,9574 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 9574

List of positive integer factors of 9574 that divides 9574 without a remainder.

1,2,4787,9574

Greatest Common Factor

We found the factors 306,9574 . The biggest common factor number is the GCF number.
So the greatest common factor 306,9574 is 2.


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 972/306, 9106/9574

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 972/306, 9106/9574?

Answer: LCM of Numerators as per given numbers 972/306, 9106/9574 is

LCM of Numerators i.e. for 972,9106 is 4425516

GCF of denominators i.e. for 306,9574 is 2.

Thus, LCM of Fractions is 2212758.Finally, LCM of Fractions for 972/306, 9106/9574 is 2212758.