Least Common Multiple of 70/304, 6690/4823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 70/304, 6690/4823 quickly i.e. 46830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 70/304, 6690/4823 is 46830.

LCM(70/304, 6690/4823) = 46830

LCM of 70/304, 6690/4823

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 70/304,6690/4823

Given numbers are 70/304,6690/4823

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 70,6690

Least Common Multiple of Numerators i.e. LCM of 70,6690 is 46830.

GCF of Denominators means GCF of 304,4823 as per the given fractions.

GCF of 304,4823 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 70,6690

LCM of Fractions 70/304,6690/4823 is 46830

2 70, 6690
5 35, 3345
7, 669

∴ So the LCM of the given numbers is 2 x 5 x 7 x 669 = 46830

Least Common Multiple of 70,6690 with GCF Formula

Least Common Multiple of 70,6690 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 70,6690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,6690) = 10

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

GCF(70,6690) x common factors =10 x 1 = 10

LCM(70,6690) = ( 70 × 6690 ) / 10

LCM(70,6690) = 468300 / 10

LCM(70,6690) = 46830


Lets's calculate GCF of 304,4823

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46830/1

Therefore the LCM of Fractions 70/304,6690/4823 is 46830

Greatest Common Factor of 304,4823 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,4823 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 4823

List of positive integer factors of 4823 that divides 4823 without a remainder.

1,7,13,53,91,371,689,4823

Greatest Common Factor

We found the factors 304,4823 . The biggest common factor number is the GCF number.
So the greatest common factor 304,4823 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 70/304, 6690/4823

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 70/304, 6690/4823?

Answer: LCM of Numerators as per given numbers 70/304, 6690/4823 is

LCM of Numerators i.e. for 70,6690 is 46830

GCF of denominators i.e. for 304,4823 is 1.

Thus, LCM of Fractions is 46830.Finally, LCM of Fractions for 70/304, 6690/4823 is 46830.