Least Common Multiple of 641/552, 714/457, 690/833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 641/552, 714/457, 690/833 quickly i.e. 52632510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 641/552, 714/457, 690/833 is 52632510.

LCM(641/552, 714/457, 690/833) = 52632510

LCM of 641/552, 714/457, 690/833

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 641/552,714/457,690/833

Given numbers are 641/552,714/457,690/833

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 641,714,690

Least Common Multiple of Numerators i.e. LCM of 641,714,690 is 52632510.

GCF of Denominators means GCF of 552,457,833 as per the given fractions.

GCF of 552,457,833 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 641,714,690

LCM of Fractions 641/552,714/457,690/833 is 52632510

2 641, 714, 690
3 641, 357, 345
641, 119, 115

∴ So the LCM of the given numbers is 2 x 3 x 641 x 119 x 115 = 52632510

Least Common Multiple of 641,714,690 with GCF Formula

Least Common Multiple of 641,714,690 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 641,714,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(641,714,690) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(641,714,690) x common factors =1 x 6 = 6

LCM(641,714,690) = ( 641 × 714 × 690 ) / 6

LCM(641,714,690) = 315795060 / 6

LCM(641,714,690) = 52632510


Lets's calculate GCF of 552,457,833

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52632510/1

Therefore the LCM of Fractions 641/552,714/457,690/833 is 52632510

Greatest Common Factor of 552,457,833 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,457,833 By Matching Biggest Common Factor Method

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Greatest Common Factor

We found the factors 552,457,833 . The biggest common factor number is the GCF number.
So the greatest common factor 552,457,833 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 641/552, 714/457, 690/833

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 641/552, 714/457, 690/833?

Answer: LCM of Numerators as per given numbers 641/552, 714/457, 690/833 is

LCM of Numerators i.e. for 641,714,690 is 52632510

GCF of denominators i.e. for 552,457,833 is 1.

Thus, LCM of Fractions is 52632510.Finally, LCM of Fractions for 641/552, 714/457, 690/833 is 52632510.