Least Common Multiple of 870/532, 793/683, 848/841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 870/532, 793/683, 848/841 quickly i.e. 292521840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 870/532, 793/683, 848/841 is 292521840.

LCM(870/532, 793/683, 848/841) = 292521840

LCM of 870/532, 793/683, 848/841

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 870/532,793/683,848/841

Given numbers are 870/532,793/683,848/841

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 870,793,848

Least Common Multiple of Numerators i.e. LCM of 870,793,848 is 292521840.

GCF of Denominators means GCF of 532,683,841 as per the given fractions.

GCF of 532,683,841 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 870,793,848

LCM of Fractions 870/532,793/683,848/841 is 292521840

2 870, 793, 848
435, 793, 424

∴ So the LCM of the given numbers is 2 x 435 x 793 x 424 = 292521840

Least Common Multiple of 870,793,848 with GCF Formula

Least Common Multiple of 870,793,848 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 870,793,848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,793,848) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(870,793,848) x common factors =1 x 2 = 2

LCM(870,793,848) = ( 870 × 793 × 848 ) / 2

LCM(870,793,848) = 585043680 / 2

LCM(870,793,848) = 292521840


Lets's calculate GCF of 532,683,841

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 292521840/1

Therefore the LCM of Fractions 870/532,793/683,848/841 is 292521840

Greatest Common Factor of 532,683,841 By Matching Biggest Common Factor Method

Greatest Common Factor of 532,683,841 By Matching Biggest Common Factor Method

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

Greatest Common Factor

We found the factors 532,683,841 . The biggest common factor number is the GCF number.
So the greatest common factor 532,683,841 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 870/532, 793/683, 848/841

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 870/532, 793/683, 848/841?

Answer: LCM of Numerators as per given numbers 870/532, 793/683, 848/841 is

LCM of Numerators i.e. for 870,793,848 is 292521840

GCF of denominators i.e. for 532,683,841 is 1.

Thus, LCM of Fractions is 292521840.Finally, LCM of Fractions for 870/532, 793/683, 848/841 is 292521840.