Least Common Multiple of 70/684, 9164/1783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 70/684, 9164/1783 quickly i.e. 320740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/684, 9164/1783 is 320740.

LCM(70/684, 9164/1783) = 320740

LCM of 70/684, 9164/1783

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 70/684,9164/1783

Given numbers are 70/684,9164/1783

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 70,9164

Least Common Multiple of Numerators i.e. LCM of 70,9164 is 320740.

GCF of Denominators means GCF of 684,1783 as per the given fractions.

GCF of 684,1783 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,9164

LCM of Fractions 70/684,9164/1783 is 320740

2 70, 9164
35, 4582

∴ So the LCM of the given numbers is 2 x 35 x 4582 = 320740

Least Common Multiple of 70,9164 with GCF Formula

Least Common Multiple of 70,9164 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 70,9164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,9164) = 2

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

GCF(70,9164) x common factors =2 x 1 = 2

LCM(70,9164) = ( 70 × 9164 ) / 2

LCM(70,9164) = 641480 / 2

LCM(70,9164) = 320740


Lets's calculate GCF of 684,1783

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 320740/1

Therefore the LCM of Fractions 70/684,9164/1783 is 320740

Greatest Common Factor of 684,1783 By Matching Biggest Common Factor Method

Greatest Common Factor of 684,1783 By Matching Biggest Common Factor Method

Factors of 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Factors of 1783

List of positive integer factors of 1783 that divides 1783 without a remainder.

1,1783

Greatest Common Factor

We found the factors 684,1783 . The biggest common factor number is the GCF number.
So the greatest common factor 684,1783 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 70/684, 9164/1783

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 70/684, 9164/1783?

Answer: LCM of Numerators as per given numbers 70/684, 9164/1783 is

LCM of Numerators i.e. for 70,9164 is 320740

GCF of denominators i.e. for 684,1783 is 1.

Thus, LCM of Fractions is 320740.Finally, LCM of Fractions for 70/684, 9164/1783 is 320740.