Least Common Multiple of 701/921, 133/359, 343/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 701/921, 133/359, 343/385 quickly i.e. 4568417 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 701/921, 133/359, 343/385 is 4568417.

LCM(701/921, 133/359, 343/385) = 4568417

LCM of 701/921, 133/359, 343/385

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 701/921,133/359,343/385

Given numbers are 701/921,133/359,343/385

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 701,133,343

Least Common Multiple of Numerators i.e. LCM of 701,133,343 is 4568417.

GCF of Denominators means GCF of 921,359,385 as per the given fractions.

GCF of 921,359,385 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 701,133,343

LCM of Fractions 701/921,133/359,343/385 is 4568417

7 701, 133, 343
701, 19, 49

∴ So the LCM of the given numbers is 7 x 701 x 19 x 49 = 4568417

Least Common Multiple of 701,133,343 with GCF Formula

Least Common Multiple of 701,133,343 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 701,133,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(701,133,343) = 1

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

GCF(701,133,343) x common factors =1 x 7 = 7

LCM(701,133,343) = ( 701 × 133 × 343 ) / 7

LCM(701,133,343) = 31978919 / 7

LCM(701,133,343) = 4568417


Lets's calculate GCF of 921,359,385

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4568417/1

Therefore the LCM of Fractions 701/921,133/359,343/385 is 4568417

Greatest Common Factor of 921,359,385 By Matching Biggest Common Factor Method

Greatest Common Factor of 921,359,385 By Matching Biggest Common Factor Method

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1,3,307,921

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Greatest Common Factor

We found the factors 921,359,385 . The biggest common factor number is the GCF number.
So the greatest common factor 921,359,385 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 701/921, 133/359, 343/385

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 701/921, 133/359, 343/385?

Answer: LCM of Numerators as per given numbers 701/921, 133/359, 343/385 is

LCM of Numerators i.e. for 701,133,343 is 4568417

GCF of denominators i.e. for 921,359,385 is 1.

Thus, LCM of Fractions is 4568417.Finally, LCM of Fractions for 701/921, 133/359, 343/385 is 4568417.