Least Common Multiple of 61/313, 861/702, 784/805

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/313, 861/702, 784/805 quickly i.e. 5882352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/313, 861/702, 784/805 is 5882352.

LCM(61/313, 861/702, 784/805) = 5882352

LCM of 61/313, 861/702, 784/805

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 61/313,861/702,784/805

Given numbers are 61/313,861/702,784/805

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 61,861,784

Least Common Multiple of Numerators i.e. LCM of 61,861,784 is 5882352.

GCF of Denominators means GCF of 313,702,805 as per the given fractions.

GCF of 313,702,805 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,861,784

LCM of Fractions 61/313,861/702,784/805 is 5882352

7 61, 861, 784
61, 123, 112

∴ So the LCM of the given numbers is 7 x 61 x 123 x 112 = 5882352

Least Common Multiple of 61,861,784 with GCF Formula

Least Common Multiple of 61,861,784 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 61,861,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,861,784) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(61,861,784) x common factors =1 x 7 = 7

LCM(61,861,784) = ( 61 × 861 × 784 ) / 7

LCM(61,861,784) = 41176464 / 7

LCM(61,861,784) = 5882352


Lets's calculate GCF of 313,702,805

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5882352/1

Therefore the LCM of Fractions 61/313,861/702,784/805 is 5882352

Greatest Common Factor of 313,702,805 By Matching Biggest Common Factor Method

Greatest Common Factor of 313,702,805 By Matching Biggest Common Factor Method

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Greatest Common Factor

We found the factors 313,702,805 . The biggest common factor number is the GCF number.
So the greatest common factor 313,702,805 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 61/313, 861/702, 784/805

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 61/313, 861/702, 784/805?

Answer: LCM of Numerators as per given numbers 61/313, 861/702, 784/805 is

LCM of Numerators i.e. for 61,861,784 is 5882352

GCF of denominators i.e. for 313,702,805 is 1.

Thus, LCM of Fractions is 5882352.Finally, LCM of Fractions for 61/313, 861/702, 784/805 is 5882352.