Least Common Multiple of 368/776, 316/449, 979/208

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 368/776, 316/449, 979/208 quickly i.e. 28461488 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 368/776, 316/449, 979/208 is 28461488.

LCM(368/776, 316/449, 979/208) = 28461488

LCM of 368/776, 316/449, 979/208

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 368/776,316/449,979/208

Given numbers are 368/776,316/449,979/208

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 368,316,979

Least Common Multiple of Numerators i.e. LCM of 368,316,979 is 28461488.

GCF of Denominators means GCF of 776,449,208 as per the given fractions.

GCF of 776,449,208 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 368,316,979

LCM of Fractions 368/776,316/449,979/208 is 28461488

2 368, 316, 979
2 184, 158, 979
92, 79, 979

∴ So the LCM of the given numbers is 2 x 2 x 92 x 79 x 979 = 28461488

Least Common Multiple of 368,316,979 with GCF Formula

Least Common Multiple of 368,316,979 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 368,316,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,316,979) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(368,316,979) x common factors =1 x 4 = 4

LCM(368,316,979) = ( 368 × 316 × 979 ) / 4

LCM(368,316,979) = 113845952 / 4

LCM(368,316,979) = 28461488


Lets's calculate GCF of 776,449,208

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28461488/1

Therefore the LCM of Fractions 368/776,316/449,979/208 is 28461488

Greatest Common Factor of 776,449,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 776,449,208 By Matching Biggest Common Factor Method

Factors of 776

List of positive integer factors of 776 that divides 776 without a remainder.

1,2,4,8,97,194,388,776

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 776,449,208 . The biggest common factor number is the GCF number.
So the greatest common factor 776,449,208 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 368/776, 316/449, 979/208

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 368/776, 316/449, 979/208?

Answer: LCM of Numerators as per given numbers 368/776, 316/449, 979/208 is

LCM of Numerators i.e. for 368,316,979 is 28461488

GCF of denominators i.e. for 776,449,208 is 1.

Thus, LCM of Fractions is 28461488.Finally, LCM of Fractions for 368/776, 316/449, 979/208 is 28461488.