Least Common Multiple of 49/736, 51/931, 701/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 49/736, 51/931, 701/380 quickly i.e. 1751799 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 49/736, 51/931, 701/380 is 1751799.

LCM(49/736, 51/931, 701/380) = 1751799

LCM of 49/736, 51/931, 701/380

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 49/736,51/931,701/380

Given numbers are 49/736,51/931,701/380

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 49,51,701

Least Common Multiple of Numerators i.e. LCM of 49,51,701 is 1751799.

GCF of Denominators means GCF of 736,931,380 as per the given fractions.

GCF of 736,931,380 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 49,51,701

LCM of Fractions 49/736,51/931,701/380 is 1751799

Given numbers has no common factors except 1. So, there LCM is their product i.e 1751799

Least Common Multiple of 49,51,701 with GCF Formula

Least Common Multiple of 49,51,701 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 49,51,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,51,701) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(49,51,701) x common factors =1 x 1 = 1

LCM(49,51,701) = ( 49 × 51 × 701 ) / 1

LCM(49,51,701) = 1751799 / 1

LCM(49,51,701) = 1751799


Lets's calculate GCF of 736,931,380

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1751799/1

Therefore the LCM of Fractions 49/736,51/931,701/380 is 1751799

Greatest Common Factor of 736,931,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,931,380 By Matching Biggest Common Factor Method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 736,931,380 . The biggest common factor number is the GCF number.
So the greatest common factor 736,931,380 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 49/736, 51/931, 701/380

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 49/736, 51/931, 701/380?

Answer: LCM of Numerators as per given numbers 49/736, 51/931, 701/380 is

LCM of Numerators i.e. for 49,51,701 is 1751799

GCF of denominators i.e. for 736,931,380 is 1.

Thus, LCM of Fractions is 1751799.Finally, LCM of Fractions for 49/736, 51/931, 701/380 is 1751799.