Least Common Multiple of 2916/701, 2490/4815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2916/701, 2490/4815 quickly i.e. 1210140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2916/701, 2490/4815 is 1210140.

LCM(2916/701, 2490/4815) = 1210140

LCM of 2916/701, 2490/4815

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 2916/701,2490/4815

Given numbers are 2916/701,2490/4815

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 2916,2490

Least Common Multiple of Numerators i.e. LCM of 2916,2490 is 1210140.

GCF of Denominators means GCF of 701,4815 as per the given fractions.

GCF of 701,4815 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2916,2490

LCM of Fractions 2916/701,2490/4815 is 1210140

2 2916, 2490
3 1458, 1245
486, 415

∴ So the LCM of the given numbers is 2 x 3 x 486 x 415 = 1210140

Least Common Multiple of 2916,2490 with GCF Formula

Least Common Multiple of 2916,2490 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 2916,2490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2916,2490) = 6

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

GCF(2916,2490) x common factors =6 x 1 = 6

LCM(2916,2490) = ( 2916 × 2490 ) / 6

LCM(2916,2490) = 7260840 / 6

LCM(2916,2490) = 1210140


Lets's calculate GCF of 701,4815

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1210140/1

Therefore the LCM of Fractions 2916/701,2490/4815 is 1210140

Greatest Common Factor of 701,4815 By Matching Biggest Common Factor Method

Greatest Common Factor of 701,4815 By Matching Biggest Common Factor Method

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Factors of 4815

List of positive integer factors of 4815 that divides 4815 without a remainder.

1,3,5,9,15,45,107,321,535,963,1605,4815

Greatest Common Factor

We found the factors 701,4815 . The biggest common factor number is the GCF number.
So the greatest common factor 701,4815 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2916/701, 2490/4815

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 2916/701, 2490/4815?

Answer: LCM of Numerators as per given numbers 2916/701, 2490/4815 is

LCM of Numerators i.e. for 2916,2490 is 1210140

GCF of denominators i.e. for 701,4815 is 1.

Thus, LCM of Fractions is 1210140.Finally, LCM of Fractions for 2916/701, 2490/4815 is 1210140.