Least Common Multiple of 944/767, 7628/949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 944/767, 7628/949 quickly i.e. 1800208/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 944/767, 7628/949 is 1800208/13.

LCM(944/767, 7628/949) = 1800208/13

LCM of 944/767, 7628/949

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 944/767,7628/949

Given numbers are 944/767,7628/949

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 944,7628

Least Common Multiple of Numerators i.e. LCM of 944,7628 is 1800208.

GCF of Denominators means GCF of 767,949 as per the given fractions.

GCF of 767,949 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 944,7628

LCM of Fractions 944/767,7628/949 is 1800208/13

2 944, 7628
2 472, 3814
236, 1907

∴ So the LCM of the given numbers is 2 x 2 x 236 x 1907 = 1800208

Least Common Multiple of 944,7628 with GCF Formula

Least Common Multiple of 944,7628 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 944,7628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(944,7628) = 4

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

GCF(944,7628) x common factors =4 x 1 = 4

LCM(944,7628) = ( 944 × 7628 ) / 4

LCM(944,7628) = 7200832 / 4

LCM(944,7628) = 1800208


Lets's calculate GCF of 767,949

13 767, 949
59, 73

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1800208/13

Therefore the LCM of Fractions 944/767,7628/949 is 1800208/13

Greatest Common Factor of 767,949 By Matching Biggest Common Factor Method

Greatest Common Factor of 767,949 By Matching Biggest Common Factor Method

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Greatest Common Factor

We found the factors 767,949 . The biggest common factor number is the GCF number.
So the greatest common factor 767,949 is 13.


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 944/767, 7628/949

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 944/767, 7628/949?

Answer: LCM of Numerators as per given numbers 944/767, 7628/949 is

LCM of Numerators i.e. for 944,7628 is 1800208

GCF of denominators i.e. for 767,949 is 13.

Thus, LCM of Fractions is 1800208/13.Finally, LCM of Fractions for 944/767, 7628/949 is 1800208/13.