Least Common Multiple of 164/790, 616/337, 490/771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 164/790, 616/337, 490/771 quickly i.e. 883960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 164/790, 616/337, 490/771 is 883960.

LCM(164/790, 616/337, 490/771) = 883960

LCM of 164/790, 616/337, 490/771

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 164/790,616/337,490/771

Given numbers are 164/790,616/337,490/771

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 164,616,490

Least Common Multiple of Numerators i.e. LCM of 164,616,490 is 883960.

GCF of Denominators means GCF of 790,337,771 as per the given fractions.

GCF of 790,337,771 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 164,616,490

LCM of Fractions 164/790,616/337,490/771 is 883960

2 164, 616, 490
2 82, 308, 245
7 41, 154, 245
41, 22, 35

∴ So the LCM of the given numbers is 2 x 2 x 7 x 41 x 22 x 35 = 883960

Least Common Multiple of 164,616,490 with GCF Formula

Least Common Multiple of 164,616,490 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 164,616,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,616,490) = 2

common factors(in case of two or more numbers have common factors) = 28

GCF(164,616,490) x common factors =2 x 28 = 56

LCM(164,616,490) = ( 164 × 616 × 490 ) / 56

LCM(164,616,490) = 49501760 / 56

LCM(164,616,490) = 883960


Lets's calculate GCF of 790,337,771

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 883960/1

Therefore the LCM of Fractions 164/790,616/337,490/771 is 883960

Greatest Common Factor of 790,337,771 By Matching Biggest Common Factor Method

Greatest Common Factor of 790,337,771 By Matching Biggest Common Factor Method

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Greatest Common Factor

We found the factors 790,337,771 . The biggest common factor number is the GCF number.
So the greatest common factor 790,337,771 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 164/790, 616/337, 490/771

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 164/790, 616/337, 490/771?

Answer: LCM of Numerators as per given numbers 164/790, 616/337, 490/771 is

LCM of Numerators i.e. for 164,616,490 is 883960

GCF of denominators i.e. for 790,337,771 is 1.

Thus, LCM of Fractions is 883960.Finally, LCM of Fractions for 164/790, 616/337, 490/771 is 883960.